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Finding the Fourth Proportional to 224,099.52, 309,159.36 and 160,414.08

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Solution

The fourth proportional to 224,099.52, 309,159.36 and 160,414.08 is: 221,301.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,099.52 : 309,159.36 = 160,414.08 : x
  2. Step 2: Convert to fraction form
    224,099.52/309,159.36 = 160,414.08/x
  3. Step 3: Cross multiply
    224,099.52x = 309,159.36 × 160,414.08
  4. Step 4: Simplify right side
    224,099.52x = 49,593,514,307.79
  5. Step 5: Solve for x
    x = 49,593,514,307.79/224,099.52
  6. Step 6: Final answer
    x = 221,301.30

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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.