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Finding the Fourth Proportional to 267,214.38, 368,752.14 and 146,355.63

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Solution

The fourth proportional to 267,214.38, 368,752.14 and 146,355.63 is: 201,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,214.38 : 368,752.14 = 146,355.63 : x
  2. Step 2: Convert to fraction form
    267,214.38/368,752.14 = 146,355.63/x
  3. Step 3: Cross multiply
    267,214.38x = 368,752.14 × 146,355.63
  4. Step 4: Simplify right side
    267,214.38x = 53,968,951,763.55
  5. Step 5: Solve for x
    x = 53,968,951,763.55/267,214.38
  6. Step 6: Final answer
    x = 201,968.74

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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.