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Finding the Fourth Proportional to 267,948.33, 401,959.34 and 99,454.35

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Solution

The fourth proportional to 267,948.33, 401,959.34 and 99,454.35 is: 149,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,948.33 : 401,959.34 = 99,454.35 : x
  2. Step 2: Convert to fraction form
    267,948.33/401,959.34 = 99,454.35/x
  3. Step 3: Cross multiply
    267,948.33x = 401,959.34 × 99,454.35
  4. Step 4: Simplify right side
    267,948.33x = 39,976,604,886.13
  5. Step 5: Solve for x
    x = 39,976,604,886.13/267,948.33
  6. Step 6: Final answer
    x = 149,195.20

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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.