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Finding the Fourth Proportional to 292,491.47, 438,763.97 and 82,127.99

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Solution

The fourth proportional to 292,491.47, 438,763.97 and 82,127.99 is: 123,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,491.47 : 438,763.97 = 82,127.99 : x
  2. Step 2: Convert to fraction form
    292,491.47/438,763.97 = 82,127.99/x
  3. Step 3: Cross multiply
    292,491.47x = 438,763.97 × 82,127.99
  4. Step 4: Simplify right side
    292,491.47x = 36,034,800,952.02
  5. Step 5: Solve for x
    x = 36,034,800,952.02/292,491.47
  6. Step 6: Final answer
    x = 123,199.50

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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.