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Finding the Fourth Proportional to 278,155.98, 417,124.77 and 98,203

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Solution

The fourth proportional to 278,155.98, 417,124.77 and 98,203 is: 147,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,155.98 : 417,124.77 = 98,203 : x
  2. Step 2: Convert to fraction form
    278,155.98/417,124.77 = 98,203/x
  3. Step 3: Cross multiply
    278,155.98x = 417,124.77 × 98,203
  4. Step 4: Simplify right side
    278,155.98x = 40,962,903,788.31
  5. Step 5: Solve for x
    x = 40,962,903,788.31/278,155.98
  6. Step 6: Final answer
    x = 147,265.95

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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.