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Finding the Fourth Proportional to 100,280.32, 138,392.96 and 57,838.08

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Solution

The fourth proportional to 100,280.32, 138,392.96 and 57,838.08 is: 79,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,280.32 : 138,392.96 = 57,838.08 : x
  2. Step 2: Convert to fraction form
    100,280.32/138,392.96 = 57,838.08/x
  3. Step 3: Cross multiply
    100,280.32x = 138,392.96 × 57,838.08
  4. Step 4: Simplify right side
    100,280.32x = 8,004,383,091.92
  5. Step 5: Solve for x
    x = 8,004,383,091.92/100,280.32
  6. Step 6: Final answer
    x = 79,820.08

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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.