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Finding the Fourth Proportional to 123,886.89, 185,830.34 and 53,766.20

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Solution

The fourth proportional to 123,886.89, 185,830.34 and 53,766.20 is: 80,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,886.89 : 185,830.34 = 53,766.20 : x
  2. Step 2: Convert to fraction form
    123,886.89/185,830.34 = 53,766.20/x
  3. Step 3: Cross multiply
    123,886.89x = 185,830.34 × 53,766.20
  4. Step 4: Simplify right side
    123,886.89x = 9,991,391,226.51
  5. Step 5: Solve for x
    x = 9,991,391,226.51/123,886.89
  6. Step 6: Final answer
    x = 80,649.30

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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.