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Finding the Fourth Proportional to 98,500.86, 147,765.87 and 36,166.50

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Solution

The fourth proportional to 98,500.86, 147,765.87 and 36,166.50 is: 54,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,500.86 : 147,765.87 = 36,166.50 : x
  2. Step 2: Convert to fraction form
    98,500.86/147,765.87 = 36,166.50/x
  3. Step 3: Cross multiply
    98,500.86x = 147,765.87 × 36,166.50
  4. Step 4: Simplify right side
    98,500.86x = 5,344,174,337.36
  5. Step 5: Solve for x
    x = 5,344,174,337.36/98,500.86
  6. Step 6: Final answer
    x = 54,255.10

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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.