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Finding the Fourth Proportional to 260,408.43, 359,373.85 and 152,977.52

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Solution

The fourth proportional to 260,408.43, 359,373.85 and 152,977.52 is: 211,114.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,408.43 : 359,373.85 = 152,977.52 : x
  2. Step 2: Convert to fraction form
    260,408.43/359,373.85 = 152,977.52/x
  3. Step 3: Cross multiply
    260,408.43x = 359,373.85 × 152,977.52
  4. Step 4: Simplify right side
    260,408.43x = 54,976,120,841.84
  5. Step 5: Solve for x
    x = 54,976,120,841.84/260,408.43
  6. Step 6: Final answer
    x = 211,114.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.