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Finding the Fourth Proportional to 492,086.90, 738,159.52 and 155,138.24

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Solution

The fourth proportional to 492,086.90, 738,159.52 and 155,138.24 is: 232,716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,086.90 : 738,159.52 = 155,138.24 : x
  2. Step 2: Convert to fraction form
    492,086.90/738,159.52 = 155,138.24/x
  3. Step 3: Cross multiply
    492,086.90x = 738,159.52 × 155,138.24
  4. Step 4: Simplify right side
    492,086.90x = 114,516,768,772.05
  5. Step 5: Solve for x
    x = 114,516,768,772.05/492,086.90
  6. Step 6: Final answer
    x = 232,716.56

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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.