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Finding the Fourth Proportional to 106,079.52, 146,389.53 and 60,772.17

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Solution

The fourth proportional to 106,079.52, 146,389.53 and 60,772.17 is: 83,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,079.52 : 146,389.53 = 60,772.17 : x
  2. Step 2: Convert to fraction form
    106,079.52/146,389.53 = 60,772.17/x
  3. Step 3: Cross multiply
    106,079.52x = 146,389.53 × 60,772.17
  4. Step 4: Simplify right side
    106,079.52x = 8,896,409,403.38
  5. Step 5: Solve for x
    x = 8,896,409,403.38/106,079.52
  6. Step 6: Final answer
    x = 83,865.48

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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.