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Finding the Fourth Proportional to 253,925.80, 380,892.46 and 96,111.88

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Solution

The fourth proportional to 253,925.80, 380,892.46 and 96,111.88 is: 144,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,925.80 : 380,892.46 = 96,111.88 : x
  2. Step 2: Convert to fraction form
    253,925.80/380,892.46 = 96,111.88/x
  3. Step 3: Cross multiply
    253,925.80x = 380,892.46 × 96,111.88
  4. Step 4: Simplify right side
    253,925.80x = 36,608,290,408.42
  5. Step 5: Solve for x
    x = 36,608,290,408.42/253,925.80
  6. Step 6: Final answer
    x = 144,169.24

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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.