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Finding the Fourth Proportional to 235,199.82, 352,854.45 and 77,429.64

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Solution

The fourth proportional to 235,199.82, 352,854.45 and 77,429.64 is: 116,162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,199.82 : 352,854.45 = 77,429.64 : x
  2. Step 2: Convert to fraction form
    235,199.82/352,854.45 = 77,429.64/x
  3. Step 3: Cross multiply
    235,199.82x = 352,854.45 × 77,429.64
  4. Step 4: Simplify right side
    235,199.82x = 27,321,393,035.90
  5. Step 5: Solve for x
    x = 27,321,393,035.90/235,199.82
  6. Step 6: Final answer
    x = 116,162.47

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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.