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Finding the Fourth Proportional to 308,194.30, 462,372.45 and 97,831.90

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Solution

The fourth proportional to 308,194.30, 462,372.45 and 97,831.90 is: 146,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,194.30 : 462,372.45 = 97,831.90 : x
  2. Step 2: Convert to fraction form
    308,194.30/462,372.45 = 97,831.90/x
  3. Step 3: Cross multiply
    308,194.30x = 462,372.45 × 97,831.90
  4. Step 4: Simplify right side
    308,194.30x = 45,234,775,291.16
  5. Step 5: Solve for x
    x = 45,234,775,291.16/308,194.30
  6. Step 6: Final answer
    x = 146,773.56

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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.