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Finding the Fourth Proportional to 102,070.42, 153,103.17 and 71,960.29

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Solution

The fourth proportional to 102,070.42, 153,103.17 and 71,960.29 is: 107,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,070.42 : 153,103.17 = 71,960.29 : x
  2. Step 2: Convert to fraction form
    102,070.42/153,103.17 = 71,960.29/x
  3. Step 3: Cross multiply
    102,070.42x = 153,103.17 × 71,960.29
  4. Step 4: Simplify right side
    102,070.42x = 11,017,348,513.12
  5. Step 5: Solve for x
    x = 11,017,348,513.12/102,070.42
  6. Step 6: Final answer
    x = 107,938.70

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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.