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Finding the Fourth Proportional to 193,714.32, 267,332.64 and 108,829.68

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Solution

The fourth proportional to 193,714.32, 267,332.64 and 108,829.68 is: 150,188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,714.32 : 267,332.64 = 108,829.68 : x
  2. Step 2: Convert to fraction form
    193,714.32/267,332.64 = 108,829.68/x
  3. Step 3: Cross multiply
    193,714.32x = 267,332.64 × 108,829.68
  4. Step 4: Simplify right side
    193,714.32x = 29,093,725,664.76
  5. Step 5: Solve for x
    x = 29,093,725,664.76/193,714.32
  6. Step 6: Final answer
    x = 150,188.82

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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.