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Finding the Fourth Proportional to 278,329.73, 417,716 and 100,887.35

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Solution

The fourth proportional to 278,329.73, 417,716 and 100,887.35 is: 151,411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,329.73 : 417,716 = 100,887.35 : x
  2. Step 2: Convert to fraction form
    278,329.73/417,716 = 100,887.35/x
  3. Step 3: Cross multiply
    278,329.73x = 417,716 × 100,887.35
  4. Step 4: Simplify right side
    278,329.73x = 42,142,260,292.60
  5. Step 5: Solve for x
    x = 42,142,260,292.60/278,329.73
  6. Step 6: Final answer
    x = 151,411.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.