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Finding the Fourth Proportional to 267,428.75, 369,054.56 and 146,567.43

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Solution

The fourth proportional to 267,428.75, 369,054.56 and 146,567.43 is: 202,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,428.75 : 369,054.56 = 146,567.43 : x
  2. Step 2: Convert to fraction form
    267,428.75/369,054.56 = 146,567.43/x
  3. Step 3: Cross multiply
    267,428.75x = 369,054.56 × 146,567.43
  4. Step 4: Simplify right side
    267,428.75x = 54,091,377,656.14
  5. Step 5: Solve for x
    x = 54,091,377,656.14/267,428.75
  6. Step 6: Final answer
    x = 202,264.64

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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.