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Finding the Fourth Proportional to 335,035.20, 502,641.90 and 145,414.20

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Solution

The fourth proportional to 335,035.20, 502,641.90 and 145,414.20 is: 218,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,035.20 : 502,641.90 = 145,414.20 : x
  2. Step 2: Convert to fraction form
    335,035.20/502,641.90 = 145,414.20/x
  3. Step 3: Cross multiply
    335,035.20x = 502,641.90 × 145,414.20
  4. Step 4: Simplify right side
    335,035.20x = 73,091,269,774.98
  5. Step 5: Solve for x
    x = 73,091,269,774.98/335,035.20
  6. Step 6: Final answer
    x = 218,159.97

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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.