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Finding the Fourth Proportional to 144,589.86, 216,878.41 and 39,408.83

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Solution

The fourth proportional to 144,589.86, 216,878.41 and 39,408.83 is: 59,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,589.86 : 216,878.41 = 39,408.83 : x
  2. Step 2: Convert to fraction form
    144,589.86/216,878.41 = 39,408.83/x
  3. Step 3: Cross multiply
    144,589.86x = 216,878.41 × 39,408.83
  4. Step 4: Simplify right side
    144,589.86x = 8,546,924,168.52
  5. Step 5: Solve for x
    x = 8,546,924,168.52/144,589.86
  6. Step 6: Final answer
    x = 59,111.50

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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.