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Finding the Fourth Proportional to 121,434.80, 182,497.80 and 106,228.40

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Solution

The fourth proportional to 121,434.80, 182,497.80 and 106,228.40 is: 159,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,434.80 : 182,497.80 = 106,228.40 : x
  2. Step 2: Convert to fraction form
    121,434.80/182,497.80 = 106,228.40/x
  3. Step 3: Cross multiply
    121,434.80x = 182,497.80 × 106,228.40
  4. Step 4: Simplify right side
    121,434.80x = 19,386,449,297.52
  5. Step 5: Solve for x
    x = 19,386,449,297.52/121,434.80
  6. Step 6: Final answer
    x = 159,644.92

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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.