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Finding the Fourth Proportional to 224,498.32, 309,794.60 and 123,896.08

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Solution

The fourth proportional to 224,498.32, 309,794.60 and 123,896.08 is: 170,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,498.32 : 309,794.60 = 123,896.08 : x
  2. Step 2: Convert to fraction form
    224,498.32/309,794.60 = 123,896.08/x
  3. Step 3: Cross multiply
    224,498.32x = 309,794.60 × 123,896.08
  4. Step 4: Simplify right side
    224,498.32x = 38,382,336,545.17
  5. Step 5: Solve for x
    x = 38,382,336,545.17/224,498.32
  6. Step 6: Final answer
    x = 170,969.37

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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.