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Finding the Fourth Proportional to 100,258.15, 138,356.27 and 54,935.76

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Solution

The fourth proportional to 100,258.15, 138,356.27 and 54,935.76 is: 75,811.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,258.15 : 138,356.27 = 54,935.76 : x
  2. Step 2: Convert to fraction form
    100,258.15/138,356.27 = 54,935.76/x
  3. Step 3: Cross multiply
    100,258.15x = 138,356.27 × 54,935.76
  4. Step 4: Simplify right side
    100,258.15x = 7,600,706,980.55
  5. Step 5: Solve for x
    x = 7,600,706,980.55/100,258.15
  6. Step 6: Final answer
    x = 75,811.36

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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.