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Finding the Fourth Proportional to 144,076.16, 216,135.84 and 50,565.44

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Solution

The fourth proportional to 144,076.16, 216,135.84 and 50,565.44 is: 75,855.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,076.16 : 216,135.84 = 50,565.44 : x
  2. Step 2: Convert to fraction form
    144,076.16/216,135.84 = 50,565.44/x
  3. Step 3: Cross multiply
    144,076.16x = 216,135.84 × 50,565.44
  4. Step 4: Simplify right side
    144,076.16x = 10,929,003,849.37
  5. Step 5: Solve for x
    x = 10,929,003,849.37/144,076.16
  6. Step 6: Final answer
    x = 75,855.74

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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.