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Finding the Fourth Proportional to 502,872.71, 754,148.88 and 165,850.34

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Solution

The fourth proportional to 502,872.71, 754,148.88 and 165,850.34 is: 248,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,872.71 : 754,148.88 = 165,850.34 : x
  2. Step 2: Convert to fraction form
    502,872.71/754,148.88 = 165,850.34/x
  3. Step 3: Cross multiply
    502,872.71x = 754,148.88 × 165,850.34
  4. Step 4: Simplify right side
    502,872.71x = 125,075,844,387.88
  5. Step 5: Solve for x
    x = 125,075,844,387.88/502,872.71
  6. Step 6: Final answer
    x = 248,722.68

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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.