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Finding the Fourth Proportional to 267,577.68, 369,261.36 and 146,730

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Solution

The fourth proportional to 267,577.68, 369,261.36 and 146,730 is: 202,489.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,577.68 : 369,261.36 = 146,730 : x
  2. Step 2: Convert to fraction form
    267,577.68/369,261.36 = 146,730/x
  3. Step 3: Cross multiply
    267,577.68x = 369,261.36 × 146,730
  4. Step 4: Simplify right side
    267,577.68x = 54,181,719,352.80
  5. Step 5: Solve for x
    x = 54,181,719,352.80/267,577.68
  6. Step 6: Final answer
    x = 202,489.68

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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.