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Finding the Fourth Proportional to 382,011.50, 573,280.50 and 132,693.50

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Solution

The fourth proportional to 382,011.50, 573,280.50 and 132,693.50 is: 199,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,011.50 : 573,280.50 = 132,693.50 : x
  2. Step 2: Convert to fraction form
    382,011.50/573,280.50 = 132,693.50/x
  3. Step 3: Cross multiply
    382,011.50x = 573,280.50 × 132,693.50
  4. Step 4: Simplify right side
    382,011.50x = 76,070,596,026.75
  5. Step 5: Solve for x
    x = 76,070,596,026.75/382,011.50
  6. Step 6: Final answer
    x = 199,131.69

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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.