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Finding the Fourth Proportional to 502,097.25, 753,151.99 and 147,118.47

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Solution

The fourth proportional to 502,097.25, 753,151.99 and 147,118.47 is: 220,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,097.25 : 753,151.99 = 147,118.47 : x
  2. Step 2: Convert to fraction form
    502,097.25/753,151.99 = 147,118.47/x
  3. Step 3: Cross multiply
    502,097.25x = 753,151.99 × 147,118.47
  4. Step 4: Simplify right side
    502,097.25x = 110,802,568,446.26
  5. Step 5: Solve for x
    x = 110,802,568,446.26/502,097.25
  6. Step 6: Final answer
    x = 220,679.50

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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.