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Finding the Fourth Proportional to 203,565.07, 305,258.50 and 83,539.68

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Solution

The fourth proportional to 203,565.07, 305,258.50 and 83,539.68 is: 125,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,565.07 : 305,258.50 = 83,539.68 : x
  2. Step 2: Convert to fraction form
    203,565.07/305,258.50 = 83,539.68/x
  3. Step 3: Cross multiply
    203,565.07x = 305,258.50 × 83,539.68
  4. Step 4: Simplify right side
    203,565.07x = 25,501,197,407.28
  5. Step 5: Solve for x
    x = 25,501,197,407.28/203,565.07
  6. Step 6: Final answer
    x = 125,272.95

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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.