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Finding the Fourth Proportional to 278,309.07, 417,203.85 and 109,830.78

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Solution

The fourth proportional to 278,309.07, 417,203.85 and 109,830.78 is: 164,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,309.07 : 417,203.85 = 109,830.78 : x
  2. Step 2: Convert to fraction form
    278,309.07/417,203.85 = 109,830.78/x
  3. Step 3: Cross multiply
    278,309.07x = 417,203.85 × 109,830.78
  4. Step 4: Simplify right side
    278,309.07x = 45,821,824,264.50
  5. Step 5: Solve for x
    x = 45,821,824,264.50/278,309.07
  6. Step 6: Final answer
    x = 164,643.66

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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.