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Finding the Fourth Proportional to 224,491.98, 309,798.28 and 123,889.26

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Solution

The fourth proportional to 224,491.98, 309,798.28 and 123,889.26 is: 170,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,491.98 : 309,798.28 = 123,889.26 : x
  2. Step 2: Convert to fraction form
    224,491.98/309,798.28 = 123,889.26/x
  3. Step 3: Cross multiply
    224,491.98x = 309,798.28 × 123,889.26
  4. Step 4: Simplify right side
    224,491.98x = 38,380,679,658.47
  5. Step 5: Solve for x
    x = 38,380,679,658.47/224,491.98
  6. Step 6: Final answer
    x = 170,966.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.