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Finding the Fourth Proportional to 123,805.78, 185,782.46 and 44,926.16

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Solution

The fourth proportional to 123,805.78, 185,782.46 and 44,926.16 is: 67,416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,805.78 : 185,782.46 = 44,926.16 : x
  2. Step 2: Convert to fraction form
    123,805.78/185,782.46 = 44,926.16/x
  3. Step 3: Cross multiply
    123,805.78x = 185,782.46 × 44,926.16
  4. Step 4: Simplify right side
    123,805.78x = 8,346,492,523.15
  5. Step 5: Solve for x
    x = 8,346,492,523.15/123,805.78
  6. Step 6: Final answer
    x = 67,416.02

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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.