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Finding the Fourth Proportional to 106,162.49, 146,487.50 and 60,831.75

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Solution

The fourth proportional to 106,162.49, 146,487.50 and 60,831.75 is: 83,938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,162.49 : 146,487.50 = 60,831.75 : x
  2. Step 2: Convert to fraction form
    106,162.49/146,487.50 = 60,831.75/x
  3. Step 3: Cross multiply
    106,162.49x = 146,487.50 × 60,831.75
  4. Step 4: Simplify right side
    106,162.49x = 8,911,090,978.13
  5. Step 5: Solve for x
    x = 8,911,090,978.13/106,162.49
  6. Step 6: Final answer
    x = 83,938.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.