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Finding the Fourth Proportional to 208,205.34, 287,323.38 and 112,712.82

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Solution

The fourth proportional to 208,205.34, 287,323.38 and 112,712.82 is: 155,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,205.34 : 287,323.38 = 112,712.82 : x
  2. Step 2: Convert to fraction form
    208,205.34/287,323.38 = 112,712.82/x
  3. Step 3: Cross multiply
    208,205.34x = 287,323.38 × 112,712.82
  4. Step 4: Simplify right side
    208,205.34x = 32,385,028,411.73
  5. Step 5: Solve for x
    x = 32,385,028,411.73/208,205.34
  6. Step 6: Final answer
    x = 155,543.70

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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.