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Finding the Fourth Proportional to 208,132.82, 287,223.80 and 112,640.57

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Solution

The fourth proportional to 208,132.82, 287,223.80 and 112,640.57 is: 155,444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,132.82 : 287,223.80 = 112,640.57 : x
  2. Step 2: Convert to fraction form
    208,132.82/287,223.80 = 112,640.57/x
  3. Step 3: Cross multiply
    208,132.82x = 287,223.80 × 112,640.57
  4. Step 4: Simplify right side
    208,132.82x = 32,353,050,550.24
  5. Step 5: Solve for x
    x = 32,353,050,550.24/208,132.82
  6. Step 6: Final answer
    x = 155,444.26

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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.