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Finding the Fourth Proportional to 206,507.52, 309,772.80 and 58,752

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Solution

The fourth proportional to 206,507.52, 309,772.80 and 58,752 is: 88,131.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,507.52 : 309,772.80 = 58,752 : x
  2. Step 2: Convert to fraction form
    206,507.52/309,772.80 = 58,752/x
  3. Step 3: Cross multiply
    206,507.52x = 309,772.80 × 58,752
  4. Step 4: Simplify right side
    206,507.52x = 18,199,771,545.60
  5. Step 5: Solve for x
    x = 18,199,771,545.60/206,507.52
  6. Step 6: Final answer
    x = 88,131.28

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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.