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Finding the Fourth Proportional to 259,591.68, 358,236.81 and 146,414.43

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Solution

The fourth proportional to 259,591.68, 358,236.81 and 146,414.43 is: 202,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,591.68 : 358,236.81 = 146,414.43 : x
  2. Step 2: Convert to fraction form
    259,591.68/358,236.81 = 146,414.43/x
  3. Step 3: Cross multiply
    259,591.68x = 358,236.81 × 146,414.43
  4. Step 4: Simplify right side
    259,591.68x = 52,451,038,341.17
  5. Step 5: Solve for x
    x = 52,451,038,341.17/259,591.68
  6. Step 6: Final answer
    x = 202,052.08

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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.