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Finding the Fourth Proportional to 259,592.38, 358,237.30 and 146,415.14

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Solution

The fourth proportional to 259,592.38, 358,237.30 and 146,415.14 is: 202,052.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,592.38 : 358,237.30 = 146,415.14 : x
  2. Step 2: Convert to fraction form
    259,592.38/358,237.30 = 146,415.14/x
  3. Step 3: Cross multiply
    259,592.38x = 358,237.30 × 146,415.14
  4. Step 4: Simplify right side
    259,592.38x = 52,451,364,432.72
  5. Step 5: Solve for x
    x = 52,451,364,432.72/259,592.38
  6. Step 6: Final answer
    x = 202,052.79

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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.