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Finding the Fourth Proportional to 238,543.95, 357,679.85 and 98,135.31

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Solution

The fourth proportional to 238,543.95, 357,679.85 and 98,135.31 is: 147,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,543.95 : 357,679.85 = 98,135.31 : x
  2. Step 2: Convert to fraction form
    238,543.95/357,679.85 = 98,135.31/x
  3. Step 3: Cross multiply
    238,543.95x = 357,679.85 × 98,135.31
  4. Step 4: Simplify right side
    238,543.95x = 35,101,022,469.83
  5. Step 5: Solve for x
    x = 35,101,022,469.83/238,543.95
  6. Step 6: Final answer
    x = 147,146.98

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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.