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Finding the Fourth Proportional to 278,386.16, 417,574.02 and 88,845

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Solution

The fourth proportional to 278,386.16, 417,574.02 and 88,845 is: 133,265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,386.16 : 417,574.02 = 88,845 : x
  2. Step 2: Convert to fraction form
    278,386.16/417,574.02 = 88,845/x
  3. Step 3: Cross multiply
    278,386.16x = 417,574.02 × 88,845
  4. Step 4: Simplify right side
    278,386.16x = 37,099,363,806.90
  5. Step 5: Solve for x
    x = 37,099,363,806.90/278,386.16
  6. Step 6: Final answer
    x = 133,265.84

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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.