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Finding the Fourth Proportional to 106,294.66, 146,680.41 and 60,980.02

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Solution

The fourth proportional to 106,294.66, 146,680.41 and 60,980.02 is: 84,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,294.66 : 146,680.41 = 60,980.02 : x
  2. Step 2: Convert to fraction form
    106,294.66/146,680.41 = 60,980.02/x
  3. Step 3: Cross multiply
    106,294.66x = 146,680.41 × 60,980.02
  4. Step 4: Simplify right side
    106,294.66x = 8,944,574,335.41
  5. Step 5: Solve for x
    x = 8,944,574,335.41/106,294.66
  6. Step 6: Final answer
    x = 84,148.86

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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.