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Finding the Fourth Proportional to 238,713.24, 358,079.58 and 98,458.50

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Solution

The fourth proportional to 238,713.24, 358,079.58 and 98,458.50 is: 147,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,713.24 : 358,079.58 = 98,458.50 : x
  2. Step 2: Convert to fraction form
    238,713.24/358,079.58 = 98,458.50/x
  3. Step 3: Cross multiply
    238,713.24x = 358,079.58 × 98,458.50
  4. Step 4: Simplify right side
    238,713.24x = 35,255,978,327.43
  5. Step 5: Solve for x
    x = 35,255,978,327.43/238,713.24
  6. Step 6: Final answer
    x = 147,691.76

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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.