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Finding the Fourth Proportional to 208,833.48, 288,188.51 and 113,340.22

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Solution

The fourth proportional to 208,833.48, 288,188.51 and 113,340.22 is: 156,408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,833.48 : 288,188.51 = 113,340.22 : x
  2. Step 2: Convert to fraction form
    208,833.48/288,188.51 = 113,340.22/x
  3. Step 3: Cross multiply
    208,833.48x = 288,188.51 × 113,340.22
  4. Step 4: Simplify right side
    208,833.48x = 32,663,347,837.70
  5. Step 5: Solve for x
    x = 32,663,347,837.70/208,833.48
  6. Step 6: Final answer
    x = 156,408.58

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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.