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Finding the Fourth Proportional to 103,213.80, 142,446.18 and 58,497

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Solution

The fourth proportional to 103,213.80, 142,446.18 and 58,497 is: 80,732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,213.80 : 142,446.18 = 58,497 : x
  2. Step 2: Convert to fraction form
    103,213.80/142,446.18 = 58,497/x
  3. Step 3: Cross multiply
    103,213.80x = 142,446.18 × 58,497
  4. Step 4: Simplify right side
    103,213.80x = 8,332,674,191.46
  5. Step 5: Solve for x
    x = 8,332,674,191.46/103,213.80
  6. Step 6: Final answer
    x = 80,732.17

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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.