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Finding the Fourth Proportional to 123,878.92, 170,949 and 70,168.90

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Solution

The fourth proportional to 123,878.92, 170,949 and 70,168.90 is: 96,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,878.92 : 170,949 = 70,168.90 : x
  2. Step 2: Convert to fraction form
    123,878.92/170,949 = 70,168.90/x
  3. Step 3: Cross multiply
    123,878.92x = 170,949 × 70,168.90
  4. Step 4: Simplify right side
    123,878.92x = 11,995,303,286.10
  5. Step 5: Solve for x
    x = 11,995,303,286.10/123,878.92
  6. Step 6: Final answer
    x = 96,830.87

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