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Finding the Fourth Proportional to 145,024.96, 217,528.66 and 86,234.76

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Solution

The fourth proportional to 145,024.96, 217,528.66 and 86,234.76 is: 129,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,024.96 : 217,528.66 = 86,234.76 : x
  2. Step 2: Convert to fraction form
    145,024.96/217,528.66 = 86,234.76/x
  3. Step 3: Cross multiply
    145,024.96x = 217,528.66 × 86,234.76
  4. Step 4: Simplify right side
    145,024.96x = 18,758,531,788.22
  5. Step 5: Solve for x
    x = 18,758,531,788.22/145,024.96
  6. Step 6: Final answer
    x = 129,346.92

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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.