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Finding the Fourth Proportional to 123,948.86, 185,890.08 and 53,811.50

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Solution

The fourth proportional to 123,948.86, 185,890.08 and 53,811.50 is: 80,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,948.86 : 185,890.08 = 53,811.50 : x
  2. Step 2: Convert to fraction form
    123,948.86/185,890.08 = 53,811.50/x
  3. Step 3: Cross multiply
    123,948.86x = 185,890.08 × 53,811.50
  4. Step 4: Simplify right side
    123,948.86x = 10,003,024,039.92
  5. Step 5: Solve for x
    x = 10,003,024,039.92/123,948.86
  6. Step 6: Final answer
    x = 80,702.83

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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.