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Finding the Fourth Proportional to 259,591.38, 358,235.92 and 146,414.14

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Solution

The fourth proportional to 259,591.38, 358,235.92 and 146,414.14 is: 202,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,591.38 : 358,235.92 = 146,414.14 : x
  2. Step 2: Convert to fraction form
    259,591.38/358,235.92 = 146,414.14/x
  3. Step 3: Cross multiply
    259,591.38x = 358,235.92 × 146,414.14
  4. Step 4: Simplify right side
    259,591.38x = 52,450,804,143.91
  5. Step 5: Solve for x
    x = 52,450,804,143.91/259,591.38
  6. Step 6: Final answer
    x = 202,051.41

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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.