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Finding the Fourth Proportional to 278,570.72, 417,875.52 and 120,808.64

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Solution

The fourth proportional to 278,570.72, 417,875.52 and 120,808.64 is: 181,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,570.72 : 417,875.52 = 120,808.64 : x
  2. Step 2: Convert to fraction form
    278,570.72/417,875.52 = 120,808.64/x
  3. Step 3: Cross multiply
    278,570.72x = 417,875.52 × 120,808.64
  4. Step 4: Simplify right side
    278,570.72x = 50,482,973,260.49
  5. Step 5: Solve for x
    x = 50,482,973,260.49/278,570.72
  6. Step 6: Final answer
    x = 181,221.39

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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.