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Finding the Fourth Proportional to 235,023.80, 352,460.90 and 77,215.82

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Solution

The fourth proportional to 235,023.80, 352,460.90 and 77,215.82 is: 115,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,023.80 : 352,460.90 = 77,215.82 : x
  2. Step 2: Convert to fraction form
    235,023.80/352,460.90 = 77,215.82/x
  3. Step 3: Cross multiply
    235,023.80x = 352,460.90 × 77,215.82
  4. Step 4: Simplify right side
    235,023.80x = 27,215,555,842.17
  5. Step 5: Solve for x
    x = 27,215,555,842.17/235,023.80
  6. Step 6: Final answer
    x = 115,799.15

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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.