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Finding the Fourth Proportional to 208,777.26, 288,111.87 and 113,282.22

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Solution

The fourth proportional to 208,777.26, 288,111.87 and 113,282.22 is: 156,329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,777.26 : 288,111.87 = 113,282.22 : x
  2. Step 2: Convert to fraction form
    208,777.26/288,111.87 = 113,282.22/x
  3. Step 3: Cross multiply
    208,777.26x = 288,111.87 × 113,282.22
  4. Step 4: Simplify right side
    208,777.26x = 32,637,952,241.95
  5. Step 5: Solve for x
    x = 32,637,952,241.95/208,777.26
  6. Step 6: Final answer
    x = 156,329.06

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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.