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Finding the Fourth Proportional to 102,561,644.20, 153,842,466.30 and 30,758,060.20

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Solution

The fourth proportional to 102,561,644.20, 153,842,466.30 and 30,758,060.20 is: 46,137,090.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,561,644.20 : 153,842,466.30 = 30,758,060.20 : x
  2. Step 2: Convert to fraction form
    102,561,644.20/153,842,466.30 = 30,758,060.20/x
  3. Step 3: Cross multiply
    102,561,644.20x = 153,842,466.30 × 30,758,060.20
  4. Step 4: Simplify right side
    102,561,644.20x = 4,731,895,839,771,872
  5. Step 5: Solve for x
    x = 4,731,895,839,771,872/102,561,644.20
  6. Step 6: Final answer
    x = 46,137,090.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.