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Finding the Fourth Proportional to 195,411.52, 292,919.46 and 77,166.28

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Solution

The fourth proportional to 195,411.52, 292,919.46 and 77,166.28 is: 115,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,411.52 : 292,919.46 = 77,166.28 : x
  2. Step 2: Convert to fraction form
    195,411.52/292,919.46 = 77,166.28/x
  3. Step 3: Cross multiply
    195,411.52x = 292,919.46 × 77,166.28
  4. Step 4: Simplify right side
    195,411.52x = 22,603,505,067.81
  5. Step 5: Solve for x
    x = 22,603,505,067.81/195,411.52
  6. Step 6: Final answer
    x = 115,671.30

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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.