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Finding the Fourth Proportional to 268,107.80, 402,215.70 and 78,567.80

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Solution

The fourth proportional to 268,107.80, 402,215.70 and 78,567.80 is: 117,867.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,107.80 : 402,215.70 = 78,567.80 : x
  2. Step 2: Convert to fraction form
    268,107.80/402,215.70 = 78,567.80/x
  3. Step 3: Cross multiply
    268,107.80x = 402,215.70 × 78,567.80
  4. Step 4: Simplify right side
    268,107.80x = 31,601,202,674.46
  5. Step 5: Solve for x
    x = 31,601,202,674.46/268,107.80
  6. Step 6: Final answer
    x = 117,867.52

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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.