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Finding the Fourth Proportional to 145,466, 200,745.52 and 95,165

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Solution

The fourth proportional to 145,466, 200,745.52 and 95,165 is: 131,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,466 : 200,745.52 = 95,165 : x
  2. Step 2: Convert to fraction form
    145,466/200,745.52 = 95,165/x
  3. Step 3: Cross multiply
    145,466x = 200,745.52 × 95,165
  4. Step 4: Simplify right side
    145,466x = 19,103,947,410.80
  5. Step 5: Solve for x
    x = 19,103,947,410.80/145,466
  6. Step 6: Final answer
    x = 131,329.30

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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.