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Finding the Fourth Proportional to 334,805.80, 502,160.10 and 98,123.80

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Solution

The fourth proportional to 334,805.80, 502,160.10 and 98,123.80 is: 147,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,805.80 : 502,160.10 = 98,123.80 : x
  2. Step 2: Convert to fraction form
    334,805.80/502,160.10 = 98,123.80/x
  3. Step 3: Cross multiply
    334,805.80x = 502,160.10 × 98,123.80
  4. Step 4: Simplify right side
    334,805.80x = 49,273,857,220.38
  5. Step 5: Solve for x
    x = 49,273,857,220.38/334,805.80
  6. Step 6: Final answer
    x = 147,171.46

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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.