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Finding the Fourth Proportional to 102,180.68, 153,258.06 and 75,923.72

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Solution

The fourth proportional to 102,180.68, 153,258.06 and 75,923.72 is: 113,875.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,180.68 : 153,258.06 = 75,923.72 : x
  2. Step 2: Convert to fraction form
    102,180.68/153,258.06 = 75,923.72/x
  3. Step 3: Cross multiply
    102,180.68x = 153,258.06 × 75,923.72
  4. Step 4: Simplify right side
    102,180.68x = 11,635,922,035.18
  5. Step 5: Solve for x
    x = 11,635,922,035.18/102,180.68
  6. Step 6: Final answer
    x = 113,875.95

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