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Finding the Fourth Proportional to 208,224.80, 287,349.90 and 112,731.47

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Solution

The fourth proportional to 208,224.80, 287,349.90 and 112,731.47 is: 155,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,224.80 : 287,349.90 = 112,731.47 : x
  2. Step 2: Convert to fraction form
    208,224.80/287,349.90 = 112,731.47/x
  3. Step 3: Cross multiply
    208,224.80x = 287,349.90 × 112,731.47
  4. Step 4: Simplify right side
    208,224.80x = 32,393,376,631.35
  5. Step 5: Solve for x
    x = 32,393,376,631.35/208,224.80
  6. Step 6: Final answer
    x = 155,569.25

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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.