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Finding the Fourth Proportional to 224,565.84, 309,900.12 and 123,963.12

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Solution

The fourth proportional to 224,565.84, 309,900.12 and 123,963.12 is: 171,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,565.84 : 309,900.12 = 123,963.12 : x
  2. Step 2: Convert to fraction form
    224,565.84/309,900.12 = 123,963.12/x
  3. Step 3: Cross multiply
    224,565.84x = 309,900.12 × 123,963.12
  4. Step 4: Simplify right side
    224,565.84x = 38,416,185,763.57
  5. Step 5: Solve for x
    x = 38,416,185,763.57/224,565.84
  6. Step 6: Final answer
    x = 171,068.70

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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.