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Finding the Fourth Proportional to 140,414.67, 193,772.34 and 76,752.48

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Solution

The fourth proportional to 140,414.67, 193,772.34 and 76,752.48 is: 105,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,414.67 : 193,772.34 = 76,752.48 : x
  2. Step 2: Convert to fraction form
    140,414.67/193,772.34 = 76,752.48/x
  3. Step 3: Cross multiply
    140,414.67x = 193,772.34 × 76,752.48
  4. Step 4: Simplify right side
    140,414.67x = 14,872,507,650.40
  5. Step 5: Solve for x
    x = 14,872,507,650.40/140,414.67
  6. Step 6: Final answer
    x = 105,918.47

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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.