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Finding the Fourth Proportional to 176,797.32, 243,986.30 and 96,227.78

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Solution

The fourth proportional to 176,797.32, 243,986.30 and 96,227.78 is: 132,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,797.32 : 243,986.30 = 96,227.78 : x
  2. Step 2: Convert to fraction form
    176,797.32/243,986.30 = 96,227.78/x
  3. Step 3: Cross multiply
    176,797.32x = 243,986.30 × 96,227.78
  4. Step 4: Simplify right side
    176,797.32x = 23,478,259,999.41
  5. Step 5: Solve for x
    x = 23,478,259,999.41/176,797.32
  6. Step 6: Final answer
    x = 132,797.60

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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.