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Finding the Fourth Proportional to 224,431.32, 309,622.38 and 156,488.52

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Solution

The fourth proportional to 224,431.32, 309,622.38 and 156,488.52 is: 215,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,431.32 : 309,622.38 = 156,488.52 : x
  2. Step 2: Convert to fraction form
    224,431.32/309,622.38 = 156,488.52/x
  3. Step 3: Cross multiply
    224,431.32x = 309,622.38 × 156,488.52
  4. Step 4: Simplify right side
    224,431.32x = 48,452,348,005.08
  5. Step 5: Solve for x
    x = 48,452,348,005.08/224,431.32
  6. Step 6: Final answer
    x = 215,889.42

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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.