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Finding the Fourth Proportional to 238,595.82, 357,631.30 and 98,277.90

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Solution

The fourth proportional to 238,595.82, 357,631.30 and 98,277.90 is: 147,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,595.82 : 357,631.30 = 98,277.90 : x
  2. Step 2: Convert to fraction form
    238,595.82/357,631.30 = 98,277.90/x
  3. Step 3: Cross multiply
    238,595.82x = 357,631.30 × 98,277.90
  4. Step 4: Simplify right side
    238,595.82x = 35,147,253,138.27
  5. Step 5: Solve for x
    x = 35,147,253,138.27/238,595.82
  6. Step 6: Final answer
    x = 147,308.75

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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.