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Finding the Fourth Proportional to 105,423, 145,531.24 and 67,233.78

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Solution

The fourth proportional to 105,423, 145,531.24 and 67,233.78 is: 92,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,423 : 145,531.24 = 67,233.78 : x
  2. Step 2: Convert to fraction form
    105,423/145,531.24 = 67,233.78/x
  3. Step 3: Cross multiply
    105,423x = 145,531.24 × 67,233.78
  4. Step 4: Simplify right side
    105,423x = 9,784,615,373.29
  5. Step 5: Solve for x
    x = 9,784,615,373.29/105,423
  6. Step 6: Final answer
    x = 92,812.91

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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.