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Finding the Fourth Proportional to 224,953.76, 310,479.36 and 144,482.96

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Solution

The fourth proportional to 224,953.76, 310,479.36 and 144,482.96 is: 199,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,953.76 : 310,479.36 = 144,482.96 : x
  2. Step 2: Convert to fraction form
    224,953.76/310,479.36 = 144,482.96/x
  3. Step 3: Cross multiply
    224,953.76x = 310,479.36 × 144,482.96
  4. Step 4: Simplify right side
    224,953.76x = 44,858,976,951.71
  5. Step 5: Solve for x
    x = 44,858,976,951.71/224,953.76
  6. Step 6: Final answer
    x = 199,414.21

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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.