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Finding the Fourth Proportional to 123,677.40, 185,297.40 and 104,869.20

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Solution

The fourth proportional to 123,677.40, 185,297.40 and 104,869.20 is: 157,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,677.40 : 185,297.40 = 104,869.20 : x
  2. Step 2: Convert to fraction form
    123,677.40/185,297.40 = 104,869.20/x
  3. Step 3: Cross multiply
    123,677.40x = 185,297.40 × 104,869.20
  4. Step 4: Simplify right side
    123,677.40x = 19,431,990,100.08
  5. Step 5: Solve for x
    x = 19,431,990,100.08/123,677.40
  6. Step 6: Final answer
    x = 157,118.36

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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.