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Finding the Fourth Proportional to 208,808.15, 288,156 and 113,314.82

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Solution

The fourth proportional to 208,808.15, 288,156 and 113,314.82 is: 156,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,808.15 : 288,156 = 113,314.82 : x
  2. Step 2: Convert to fraction form
    208,808.15/288,156 = 113,314.82/x
  3. Step 3: Cross multiply
    208,808.15x = 288,156 × 113,314.82
  4. Step 4: Simplify right side
    208,808.15x = 32,652,345,271.92
  5. Step 5: Solve for x
    x = 32,652,345,271.92/208,808.15
  6. Step 6: Final answer
    x = 156,374.86

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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.