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Finding the Fourth Proportional to 267,393.78, 368,987.40 and 146,511

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Solution

The fourth proportional to 267,393.78, 368,987.40 and 146,511 is: 202,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,393.78 : 368,987.40 = 146,511 : x
  2. Step 2: Convert to fraction form
    267,393.78/368,987.40 = 146,511/x
  3. Step 3: Cross multiply
    267,393.78x = 368,987.40 × 146,511
  4. Step 4: Simplify right side
    267,393.78x = 54,060,712,961.40
  5. Step 5: Solve for x
    x = 54,060,712,961.40/267,393.78
  6. Step 6: Final answer
    x = 202,176.40

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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.