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Finding the Fourth Proportional to 278,196.68, 417,295.02 and 130,418.12

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Solution

The fourth proportional to 278,196.68, 417,295.02 and 130,418.12 is: 195,627.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,196.68 : 417,295.02 = 130,418.12 : x
  2. Step 2: Convert to fraction form
    278,196.68/417,295.02 = 130,418.12/x
  3. Step 3: Cross multiply
    278,196.68x = 417,295.02 × 130,418.12
  4. Step 4: Simplify right side
    278,196.68x = 54,422,831,993.76
  5. Step 5: Solve for x
    x = 54,422,831,993.76/278,196.68
  6. Step 6: Final answer
    x = 195,627.18

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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.