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Finding the Fourth Proportional to 277,206.52, 415,806.12 and 66,842.62

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Solution

The fourth proportional to 277,206.52, 415,806.12 and 66,842.62 is: 100,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,206.52 : 415,806.12 = 66,842.62 : x
  2. Step 2: Convert to fraction form
    277,206.52/415,806.12 = 66,842.62/x
  3. Step 3: Cross multiply
    277,206.52x = 415,806.12 × 66,842.62
  4. Step 4: Simplify right side
    277,206.52x = 27,793,570,472.83
  5. Step 5: Solve for x
    x = 27,793,570,472.83/277,206.52
  6. Step 6: Final answer
    x = 100,263.05

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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.