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Finding the Fourth Proportional to 208,839.64, 288,198.96 and 113,346.32

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Solution

The fourth proportional to 208,839.64, 288,198.96 and 113,346.32 is: 156,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,839.64 : 288,198.96 = 113,346.32 : x
  2. Step 2: Convert to fraction form
    208,839.64/288,198.96 = 113,346.32/x
  3. Step 3: Cross multiply
    208,839.64x = 288,198.96 × 113,346.32
  4. Step 4: Simplify right side
    208,839.64x = 32,666,291,543.83
  5. Step 5: Solve for x
    x = 32,666,291,543.83/208,839.64
  6. Step 6: Final answer
    x = 156,418.06

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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.