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Finding the Fourth Proportional to 124,232.60, 185,960.10 and 97,794.20

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Solution

The fourth proportional to 124,232.60, 185,960.10 and 97,794.20 is: 146,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,232.60 : 185,960.10 = 97,794.20 : x
  2. Step 2: Convert to fraction form
    124,232.60/185,960.10 = 97,794.20/x
  3. Step 3: Cross multiply
    124,232.60x = 185,960.10 × 97,794.20
  4. Step 4: Simplify right side
    124,232.60x = 18,185,819,211.42
  5. Step 5: Solve for x
    x = 18,185,819,211.42/124,232.60
  6. Step 6: Final answer
    x = 146,385.24

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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.