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Finding the Fourth Proportional to 142,585.48, 213,757.92 and 89,878.78

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Solution

The fourth proportional to 142,585.48, 213,757.92 and 89,878.78 is: 134,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,585.48 : 213,757.92 = 89,878.78 : x
  2. Step 2: Convert to fraction form
    142,585.48/213,757.92 = 89,878.78/x
  3. Step 3: Cross multiply
    142,585.48x = 213,757.92 × 89,878.78
  4. Step 4: Simplify right side
    142,585.48x = 19,212,301,064.94
  5. Step 5: Solve for x
    x = 19,212,301,064.94/142,585.48
  6. Step 6: Final answer
    x = 134,742.34

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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.