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Finding the Fourth Proportional to 278,332.06, 417,525.42 and 78,653.98

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Solution

The fourth proportional to 278,332.06, 417,525.42 and 78,653.98 is: 117,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,332.06 : 417,525.42 = 78,653.98 : x
  2. Step 2: Convert to fraction form
    278,332.06/417,525.42 = 78,653.98/x
  3. Step 3: Cross multiply
    278,332.06x = 417,525.42 × 78,653.98
  4. Step 4: Simplify right side
    278,332.06x = 32,840,036,034.17
  5. Step 5: Solve for x
    x = 32,840,036,034.17/278,332.06
  6. Step 6: Final answer
    x = 117,988.69

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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.