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Finding the Fourth Proportional to 102,693.20, 141,813.58 and 97,101.96

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Solution

The fourth proportional to 102,693.20, 141,813.58 and 97,101.96 is: 134,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,693.20 : 141,813.58 = 97,101.96 : x
  2. Step 2: Convert to fraction form
    102,693.20/141,813.58 = 97,101.96/x
  3. Step 3: Cross multiply
    102,693.20x = 141,813.58 × 97,101.96
  4. Step 4: Simplify right side
    102,693.20x = 13,770,376,572.62
  5. Step 5: Solve for x
    x = 13,770,376,572.62/102,693.20
  6. Step 6: Final answer
    x = 134,092.39

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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.