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Finding the Fourth Proportional to 334,881.90, 502,318.98 and 82,159.92

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Solution

The fourth proportional to 334,881.90, 502,318.98 and 82,159.92 is: 123,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,881.90 : 502,318.98 = 82,159.92 : x
  2. Step 2: Convert to fraction form
    334,881.90/502,318.98 = 82,159.92/x
  3. Step 3: Cross multiply
    334,881.90x = 502,318.98 × 82,159.92
  4. Step 4: Simplify right side
    334,881.90x = 41,270,487,211.28
  5. Step 5: Solve for x
    x = 41,270,487,211.28/334,881.90
  6. Step 6: Final answer
    x = 123,238.93

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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.