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Finding the Fourth Proportional to 410,613.80, 615,863.10 and 130,159.40

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Solution

The fourth proportional to 410,613.80, 615,863.10 and 130,159.40 is: 195,220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,613.80 : 615,863.10 = 130,159.40 : x
  2. Step 2: Convert to fraction form
    410,613.80/615,863.10 = 130,159.40/x
  3. Step 3: Cross multiply
    410,613.80x = 615,863.10 × 130,159.40
  4. Step 4: Simplify right side
    410,613.80x = 80,160,371,578.14
  5. Step 5: Solve for x
    x = 80,160,371,578.14/410,613.80
  6. Step 6: Final answer
    x = 195,220.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.