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Finding the Fourth Proportional to 208,314.79, 287,474.32 and 112,821.49

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Solution

The fourth proportional to 208,314.79, 287,474.32 and 112,821.49 is: 155,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,314.79 : 287,474.32 = 112,821.49 : x
  2. Step 2: Convert to fraction form
    208,314.79/287,474.32 = 112,821.49/x
  3. Step 3: Cross multiply
    208,314.79x = 287,474.32 × 112,821.49
  4. Step 4: Simplify right side
    208,314.79x = 32,433,281,119.14
  5. Step 5: Solve for x
    x = 32,433,281,119.14/208,314.79
  6. Step 6: Final answer
    x = 155,693.61

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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.