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Finding the Fourth Proportional to 208,234.80, 287,363.70 and 112,741.47

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Solution

The fourth proportional to 208,234.80, 287,363.70 and 112,741.47 is: 155,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,234.80 : 287,363.70 = 112,741.47 : x
  2. Step 2: Convert to fraction form
    208,234.80/287,363.70 = 112,741.47/x
  3. Step 3: Cross multiply
    208,234.80x = 287,363.70 × 112,741.47
  4. Step 4: Simplify right side
    208,234.80x = 32,397,805,962.64
  5. Step 5: Solve for x
    x = 32,397,805,962.64/208,234.80
  6. Step 6: Final answer
    x = 155,583.05

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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.