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Finding the Fourth Proportional to 142,553.48, 213,689.10 and 67,541

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Solution

The fourth proportional to 142,553.48, 213,689.10 and 67,541 is: 101,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,553.48 : 213,689.10 = 67,541 : x
  2. Step 2: Convert to fraction form
    142,553.48/213,689.10 = 67,541/x
  3. Step 3: Cross multiply
    142,553.48x = 213,689.10 × 67,541
  4. Step 4: Simplify right side
    142,553.48x = 14,432,775,503.10
  5. Step 5: Solve for x
    x = 14,432,775,503.10/142,553.48
  6. Step 6: Final answer
    x = 101,244.64

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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.