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Finding the Fourth Proportional to 102,421.48, 141,341.22 and 57,098.92

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Solution

The fourth proportional to 102,421.48, 141,341.22 and 57,098.92 is: 78,796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,421.48 : 141,341.22 = 57,098.92 : x
  2. Step 2: Convert to fraction form
    102,421.48/141,341.22 = 57,098.92/x
  3. Step 3: Cross multiply
    102,421.48x = 141,341.22 × 57,098.92
  4. Step 4: Simplify right side
    102,421.48x = 8,070,431,013.48
  5. Step 5: Solve for x
    x = 8,070,431,013.48/102,421.48
  6. Step 6: Final answer
    x = 78,796.27

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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.