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Finding the Fourth Proportional to 295,167.16, 442,963.52 and 117,571.44

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Solution

The fourth proportional to 295,167.16, 442,963.52 and 117,571.44 is: 176,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,167.16 : 442,963.52 = 117,571.44 : x
  2. Step 2: Convert to fraction form
    295,167.16/442,963.52 = 117,571.44/x
  3. Step 3: Cross multiply
    295,167.16x = 442,963.52 × 117,571.44
  4. Step 4: Simplify right side
    295,167.16x = 52,079,858,913.87
  5. Step 5: Solve for x
    x = 52,079,858,913.87/295,167.16
  6. Step 6: Final answer
    x = 176,441.91

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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.