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Finding the Fourth Proportional to 124,234.60, 185,963.10 and 97,796.20

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Solution

The fourth proportional to 124,234.60, 185,963.10 and 97,796.20 is: 146,388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,234.60 : 185,963.10 = 97,796.20 : x
  2. Step 2: Convert to fraction form
    124,234.60/185,963.10 = 97,796.20/x
  3. Step 3: Cross multiply
    124,234.60x = 185,963.10 × 97,796.20
  4. Step 4: Simplify right side
    124,234.60x = 18,186,484,520.22
  5. Step 5: Solve for x
    x = 18,186,484,520.22/124,234.60
  6. Step 6: Final answer
    x = 146,388.24

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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.