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Finding the Fourth Proportional to 138,728.40, 191,445.86 and 78,301.60

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Solution

The fourth proportional to 138,728.40, 191,445.86 and 78,301.60 is: 108,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,728.40 : 191,445.86 = 78,301.60 : x
  2. Step 2: Convert to fraction form
    138,728.40/191,445.86 = 78,301.60/x
  3. Step 3: Cross multiply
    138,728.40x = 191,445.86 × 78,301.60
  4. Step 4: Simplify right side
    138,728.40x = 14,990,517,151.38
  5. Step 5: Solve for x
    x = 14,990,517,151.38/138,728.40
  6. Step 6: Final answer
    x = 108,056.59

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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.