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Finding the Fourth Proportional to 278,461.86, 417,739.95 and 96,043.13

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Solution

The fourth proportional to 278,461.86, 417,739.95 and 96,043.13 is: 144,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,461.86 : 417,739.95 = 96,043.13 : x
  2. Step 2: Convert to fraction form
    278,461.86/417,739.95 = 96,043.13/x
  3. Step 3: Cross multiply
    278,461.86x = 417,739.95 × 96,043.13
  4. Step 4: Simplify right side
    278,461.86x = 40,121,053,685.17
  5. Step 5: Solve for x
    x = 40,121,053,685.17/278,461.86
  6. Step 6: Final answer
    x = 144,080.96

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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.