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Finding the Fourth Proportional to 149,592.80, 206,377.80 and 95,867.94

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Solution

The fourth proportional to 149,592.80, 206,377.80 and 95,867.94 is: 132,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,592.80 : 206,377.80 = 95,867.94 : x
  2. Step 2: Convert to fraction form
    149,592.80/206,377.80 = 95,867.94/x
  3. Step 3: Cross multiply
    149,592.80x = 206,377.80 × 95,867.94
  4. Step 4: Simplify right side
    149,592.80x = 19,785,014,547.73
  5. Step 5: Solve for x
    x = 19,785,014,547.73/149,592.80
  6. Step 6: Final answer
    x = 132,259.14

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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.