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Finding the Fourth Proportional to 102,707.21, 153,962.40 and 43,461.38

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Solution

The fourth proportional to 102,707.21, 153,962.40 and 43,461.38 is: 65,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,707.21 : 153,962.40 = 43,461.38 : x
  2. Step 2: Convert to fraction form
    102,707.21/153,962.40 = 43,461.38/x
  3. Step 3: Cross multiply
    102,707.21x = 153,962.40 × 43,461.38
  4. Step 4: Simplify right side
    102,707.21x = 6,691,418,757.02
  5. Step 5: Solve for x
    x = 6,691,418,757.02/102,707.21
  6. Step 6: Final answer
    x = 65,150.43

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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.