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Finding the Fourth Proportional to 267,493.48, 401,292.70 and 99,015.28

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Solution

The fourth proportional to 267,493.48, 401,292.70 and 99,015.28 is: 148,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,493.48 : 401,292.70 = 99,015.28 : x
  2. Step 2: Convert to fraction form
    267,493.48/401,292.70 = 99,015.28/x
  3. Step 3: Cross multiply
    267,493.48x = 401,292.70 × 99,015.28
  4. Step 4: Simplify right side
    267,493.48x = 39,734,109,052.46
  5. Step 5: Solve for x
    x = 39,734,109,052.46/267,493.48
  6. Step 6: Final answer
    x = 148,542.35

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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.