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Finding the Fourth Proportional to 232,137.80, 348,206.70 and 65,904.20

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Solution

The fourth proportional to 232,137.80, 348,206.70 and 65,904.20 is: 98,856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,137.80 : 348,206.70 = 65,904.20 : x
  2. Step 2: Convert to fraction form
    232,137.80/348,206.70 = 65,904.20/x
  3. Step 3: Cross multiply
    232,137.80x = 348,206.70 × 65,904.20
  4. Step 4: Simplify right side
    232,137.80x = 22,948,283,998.14
  5. Step 5: Solve for x
    x = 22,948,283,998.14/232,137.80
  6. Step 6: Final answer
    x = 98,856.30

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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.