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Finding the Fourth Proportional to 382,009.50, 573,277.50 and 132,691.50

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Solution

The fourth proportional to 382,009.50, 573,277.50 and 132,691.50 is: 199,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,009.50 : 573,277.50 = 132,691.50 : x
  2. Step 2: Convert to fraction form
    382,009.50/573,277.50 = 132,691.50/x
  3. Step 3: Cross multiply
    382,009.50x = 573,277.50 × 132,691.50
  4. Step 4: Simplify right side
    382,009.50x = 76,069,051,391.25
  5. Step 5: Solve for x
    x = 76,069,051,391.25/382,009.50
  6. Step 6: Final answer
    x = 199,128.69

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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.