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Finding the Fourth Proportional to 193,646.25, 267,230.16 and 106,432.47

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Solution

The fourth proportional to 193,646.25, 267,230.16 and 106,432.47 is: 146,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,646.25 : 267,230.16 = 106,432.47 : x
  2. Step 2: Convert to fraction form
    193,646.25/267,230.16 = 106,432.47/x
  3. Step 3: Cross multiply
    193,646.25x = 267,230.16 × 106,432.47
  4. Step 4: Simplify right side
    193,646.25x = 28,441,965,987.30
  5. Step 5: Solve for x
    x = 28,441,965,987.30/193,646.25
  6. Step 6: Final answer
    x = 146,875.89

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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.