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Finding the Fourth Proportional to 516,752.20, 775,078.14 and 156,926.14

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Solution

The fourth proportional to 516,752.20, 775,078.14 and 156,926.14 is: 235,373.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,752.20 : 775,078.14 = 156,926.14 : x
  2. Step 2: Convert to fraction form
    516,752.20/775,078.14 = 156,926.14/x
  3. Step 3: Cross multiply
    516,752.20x = 775,078.14 × 156,926.14
  4. Step 4: Simplify right side
    516,752.20x = 121,630,020,708.58
  5. Step 5: Solve for x
    x = 121,630,020,708.58/516,752.20
  6. Step 6: Final answer
    x = 235,373.98

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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.