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Finding the Fourth Proportional to 111,414.89, 153,742.90 and 65,469.66

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Solution

The fourth proportional to 111,414.89, 153,742.90 and 65,469.66 is: 90,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,414.89 : 153,742.90 = 65,469.66 : x
  2. Step 2: Convert to fraction form
    111,414.89/153,742.90 = 65,469.66/x
  3. Step 3: Cross multiply
    111,414.89x = 153,742.90 × 65,469.66
  4. Step 4: Simplify right side
    111,414.89x = 10,065,495,390.41
  5. Step 5: Solve for x
    x = 10,065,495,390.41/111,414.89
  6. Step 6: Final answer
    x = 90,342.46

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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.