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Finding the Fourth Proportional to 208,234.62, 287,363.88 and 112,741.26

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Solution

The fourth proportional to 208,234.62, 287,363.88 and 112,741.26 is: 155,583.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,234.62 : 287,363.88 = 112,741.26 : x
  2. Step 2: Convert to fraction form
    208,234.62/287,363.88 = 112,741.26/x
  3. Step 3: Cross multiply
    208,234.62x = 287,363.88 × 112,741.26
  4. Step 4: Simplify right side
    208,234.62x = 32,397,765,909.69
  5. Step 5: Solve for x
    x = 32,397,765,909.69/208,234.62
  6. Step 6: Final answer
    x = 155,583.00

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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.