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Finding the Fourth Proportional to 129,470.88, 178,673.12 and 72,884.24

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Solution

The fourth proportional to 129,470.88, 178,673.12 and 72,884.24 is: 100,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,470.88 : 178,673.12 = 72,884.24 : x
  2. Step 2: Convert to fraction form
    129,470.88/178,673.12 = 72,884.24/x
  3. Step 3: Cross multiply
    129,470.88x = 178,673.12 × 72,884.24
  4. Step 4: Simplify right side
    129,470.88x = 13,022,454,559.63
  5. Step 5: Solve for x
    x = 13,022,454,559.63/129,470.88
  6. Step 6: Final answer
    x = 100,582.11

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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.