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Finding the Fourth Proportional to 208,803.92, 288,150.48 and 113,311.52

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Solution

The fourth proportional to 208,803.92, 288,150.48 and 113,311.52 is: 156,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,803.92 : 288,150.48 = 113,311.52 : x
  2. Step 2: Convert to fraction form
    208,803.92/288,150.48 = 113,311.52/x
  3. Step 3: Cross multiply
    208,803.92x = 288,150.48 × 113,311.52
  4. Step 4: Simplify right side
    208,803.92x = 32,650,768,877.53
  5. Step 5: Solve for x
    x = 32,650,768,877.53/208,803.92
  6. Step 6: Final answer
    x = 156,370.48

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1.5x scale

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.