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Finding the Fourth Proportional to 127,133.80, 190,732.13 and 89,767.08

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Solution

The fourth proportional to 127,133.80, 190,732.13 and 89,767.08 is: 134,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,133.80 : 190,732.13 = 89,767.08 : x
  2. Step 2: Convert to fraction form
    127,133.80/190,732.13 = 89,767.08/x
  3. Step 3: Cross multiply
    127,133.80x = 190,732.13 × 89,767.08
  4. Step 4: Simplify right side
    127,133.80x = 17,121,466,596.70
  5. Step 5: Solve for x
    x = 17,121,466,596.70/127,133.80
  6. Step 6: Final answer
    x = 134,672.82

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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.