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Finding the Fourth Proportional to 312,565.80, 468,800.10 and 87,904.20

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Solution

The fourth proportional to 312,565.80, 468,800.10 and 87,904.20 is: 131,842.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,565.80 : 468,800.10 = 87,904.20 : x
  2. Step 2: Convert to fraction form
    312,565.80/468,800.10 = 87,904.20/x
  3. Step 3: Cross multiply
    312,565.80x = 468,800.10 × 87,904.20
  4. Step 4: Simplify right side
    312,565.80x = 41,209,497,750.42
  5. Step 5: Solve for x
    x = 41,209,497,750.42/312,565.80
  6. Step 6: Final answer
    x = 131,842.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.