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Finding the Fourth Proportional to 102,454.09, 153,644.22 and 43,294.39

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Solution

The fourth proportional to 102,454.09, 153,644.22 and 43,294.39 is: 64,925.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,454.09 : 153,644.22 = 43,294.39 : x
  2. Step 2: Convert to fraction form
    102,454.09/153,644.22 = 43,294.39/x
  3. Step 3: Cross multiply
    102,454.09x = 153,644.22 × 43,294.39
  4. Step 4: Simplify right side
    102,454.09x = 6,651,932,397.82
  5. Step 5: Solve for x
    x = 6,651,932,397.82/102,454.09
  6. Step 6: Final answer
    x = 64,925.98

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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.