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Finding the Fourth Proportional to 238,461.80, 357,563.10 and 98,234.60

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Solution

The fourth proportional to 238,461.80, 357,563.10 and 98,234.60 is: 147,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,461.80 : 357,563.10 = 98,234.60 : x
  2. Step 2: Convert to fraction form
    238,461.80/357,563.10 = 98,234.60/x
  3. Step 3: Cross multiply
    238,461.80x = 357,563.10 × 98,234.60
  4. Step 4: Simplify right side
    238,461.80x = 35,125,068,103.26
  5. Step 5: Solve for x
    x = 35,125,068,103.26/238,461.80
  6. Step 6: Final answer
    x = 147,298.51

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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.