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Finding the Fourth Proportional to 207,146.64, 310,785.24 and 74,023.92

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Solution

The fourth proportional to 207,146.64, 310,785.24 and 74,023.92 is: 111,059.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,146.64 : 310,785.24 = 74,023.92 : x
  2. Step 2: Convert to fraction form
    207,146.64/310,785.24 = 74,023.92/x
  3. Step 3: Cross multiply
    207,146.64x = 310,785.24 × 74,023.92
  4. Step 4: Simplify right side
    207,146.64x = 23,005,541,742.94
  5. Step 5: Solve for x
    x = 23,005,541,742.94/207,146.64
  6. Step 6: Final answer
    x = 111,059.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.