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Finding the Fourth Proportional to 130,753.48, 196,235.32 and 67,592.20

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Solution

The fourth proportional to 130,753.48, 196,235.32 and 67,592.20 is: 101,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,753.48 : 196,235.32 = 67,592.20 : x
  2. Step 2: Convert to fraction form
    130,753.48/196,235.32 = 67,592.20/x
  3. Step 3: Cross multiply
    130,753.48x = 196,235.32 × 67,592.20
  4. Step 4: Simplify right side
    130,753.48x = 13,263,976,996.50
  5. Step 5: Solve for x
    x = 13,263,976,996.50/130,753.48
  6. Step 6: Final answer
    x = 101,442.63

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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.