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Finding the Fourth Proportional to 224,182.75, 309,366 and 122,210.20

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Solution

The fourth proportional to 224,182.75, 309,366 and 122,210.20 is: 168,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,182.75 : 309,366 = 122,210.20 : x
  2. Step 2: Convert to fraction form
    224,182.75/309,366 = 122,210.20/x
  3. Step 3: Cross multiply
    224,182.75x = 309,366 × 122,210.20
  4. Step 4: Simplify right side
    224,182.75x = 37,807,680,733.20
  5. Step 5: Solve for x
    x = 37,807,680,733.20/224,182.75
  6. Step 6: Final answer
    x = 168,646.70

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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.