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Finding the Fourth Proportional to 410,139.95, 615,183.78 and 153,921.96

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Solution

The fourth proportional to 410,139.95, 615,183.78 and 153,921.96 is: 230,873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,139.95 : 615,183.78 = 153,921.96 : x
  2. Step 2: Convert to fraction form
    410,139.95/615,183.78 = 153,921.96/x
  3. Step 3: Cross multiply
    410,139.95x = 615,183.78 × 153,921.96
  4. Step 4: Simplify right side
    410,139.95x = 94,690,293,177.81
  5. Step 5: Solve for x
    x = 94,690,293,177.81/410,139.95
  6. Step 6: Final answer
    x = 230,873.13

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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.