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Finding the Fourth Proportional to 267,511.62, 401,319.90 and 99,033.24

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Solution

The fourth proportional to 267,511.62, 401,319.90 and 99,033.24 is: 148,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,511.62 : 401,319.90 = 99,033.24 : x
  2. Step 2: Convert to fraction form
    267,511.62/401,319.90 = 99,033.24/x
  3. Step 3: Cross multiply
    267,511.62x = 401,319.90 × 99,033.24
  4. Step 4: Simplify right side
    267,511.62x = 39,744,009,973.48
  5. Step 5: Solve for x
    x = 39,744,009,973.48/267,511.62
  6. Step 6: Final answer
    x = 148,569.28

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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.