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Finding the Fourth Proportional to 106,164.49, 146,510.97 and 60,851.20

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Solution

The fourth proportional to 106,164.49, 146,510.97 and 60,851.20 is: 83,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,164.49 : 146,510.97 = 60,851.20 : x
  2. Step 2: Convert to fraction form
    106,164.49/146,510.97 = 60,851.20/x
  3. Step 3: Cross multiply
    106,164.49x = 146,510.97 × 60,851.20
  4. Step 4: Simplify right side
    106,164.49x = 8,915,368,337.66
  5. Step 5: Solve for x
    x = 8,915,368,337.66/106,164.49
  6. Step 6: Final answer
    x = 83,976.93

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1.5x scale

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.