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Finding the Fourth Proportional to 334,744.29, 502,120.62 and 98,091.81

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Solution

The fourth proportional to 334,744.29, 502,120.62 and 98,091.81 is: 147,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,744.29 : 502,120.62 = 98,091.81 : x
  2. Step 2: Convert to fraction form
    334,744.29/502,120.62 = 98,091.81/x
  3. Step 3: Cross multiply
    334,744.29x = 502,120.62 × 98,091.81
  4. Step 4: Simplify right side
    334,744.29x = 49,253,920,454.12
  5. Step 5: Solve for x
    x = 49,253,920,454.12/334,744.29
  6. Step 6: Final answer
    x = 147,138.94

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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.