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Finding the Fourth Proportional to 176,641.69, 243,763.14 and 96,067.48

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Solution

The fourth proportional to 176,641.69, 243,763.14 and 96,067.48 is: 132,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,641.69 : 243,763.14 = 96,067.48 : x
  2. Step 2: Convert to fraction form
    176,641.69/243,763.14 = 96,067.48/x
  3. Step 3: Cross multiply
    176,641.69x = 243,763.14 × 96,067.48
  4. Step 4: Simplify right side
    176,641.69x = 23,417,709,357.87
  5. Step 5: Solve for x
    x = 23,417,709,357.87/176,641.69
  6. Step 6: Final answer
    x = 132,571.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.