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Finding the Fourth Proportional to 254,106.90, 381,063.56 and 85,581.95

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Solution

The fourth proportional to 254,106.90, 381,063.56 and 85,581.95 is: 128,340.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,106.90 : 381,063.56 = 85,581.95 : x
  2. Step 2: Convert to fraction form
    254,106.90/381,063.56 = 85,581.95/x
  3. Step 3: Cross multiply
    254,106.90x = 381,063.56 × 85,581.95
  4. Step 4: Simplify right side
    254,106.90x = 32,612,160,205.51
  5. Step 5: Solve for x
    x = 32,612,160,205.51/254,106.90
  6. Step 6: Final answer
    x = 128,340.32

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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.