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Finding the Fourth Proportional to 267,142.49, 368,657.22 and 144,636.17

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Solution

The fourth proportional to 267,142.49, 368,657.22 and 144,636.17 is: 199,598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,142.49 : 368,657.22 = 144,636.17 : x
  2. Step 2: Convert to fraction form
    267,142.49/368,657.22 = 144,636.17/x
  3. Step 3: Cross multiply
    267,142.49x = 368,657.22 × 144,636.17
  4. Step 4: Simplify right side
    267,142.49x = 53,321,167,042.75
  5. Step 5: Solve for x
    x = 53,321,167,042.75/267,142.49
  6. Step 6: Final answer
    x = 199,598.23

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1.5x scale

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.