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Finding the Fourth Proportional to 134,785.68, 185,944.10 and 78,164.24

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Solution

The fourth proportional to 134,785.68, 185,944.10 and 78,164.24 is: 107,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,785.68 : 185,944.10 = 78,164.24 : x
  2. Step 2: Convert to fraction form
    134,785.68/185,944.10 = 78,164.24/x
  3. Step 3: Cross multiply
    134,785.68x = 185,944.10 × 78,164.24
  4. Step 4: Simplify right side
    134,785.68x = 14,534,179,258.98
  5. Step 5: Solve for x
    x = 14,534,179,258.98/134,785.68
  6. Step 6: Final answer
    x = 107,831.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.