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Finding the Fourth Proportional to 102,335.67, 141,227.60 and 57,013.64

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Solution

The fourth proportional to 102,335.67, 141,227.60 and 57,013.64 is: 78,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,335.67 : 141,227.60 = 57,013.64 : x
  2. Step 2: Convert to fraction form
    102,335.67/141,227.60 = 57,013.64/x
  3. Step 3: Cross multiply
    102,335.67x = 141,227.60 × 57,013.64
  4. Step 4: Simplify right side
    102,335.67x = 8,051,898,553.26
  5. Step 5: Solve for x
    x = 8,051,898,553.26/102,335.67
  6. Step 6: Final answer
    x = 78,681.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.