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Finding the Fourth Proportional to 200,924.74, 301,387.16 and 156,584.71

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Solution

The fourth proportional to 200,924.74, 301,387.16 and 156,584.71 is: 234,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,924.74 : 301,387.16 = 156,584.71 : x
  2. Step 2: Convert to fraction form
    200,924.74/301,387.16 = 156,584.71/x
  3. Step 3: Cross multiply
    200,924.74x = 301,387.16 × 156,584.71
  4. Step 4: Simplify right side
    200,924.74x = 47,192,621,046.32
  5. Step 5: Solve for x
    x = 47,192,621,046.32/200,924.74
  6. Step 6: Final answer
    x = 234,877.10

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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.