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Finding the Fourth Proportional to 208,205.69, 287,323.94 and 112,712.38

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Solution

The fourth proportional to 208,205.69, 287,323.94 and 112,712.38 is: 155,543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,205.69 : 287,323.94 = 112,712.38 : x
  2. Step 2: Convert to fraction form
    208,205.69/287,323.94 = 112,712.38/x
  3. Step 3: Cross multiply
    208,205.69x = 287,323.94 × 112,712.38
  4. Step 4: Simplify right side
    208,205.69x = 32,384,963,108.20
  5. Step 5: Solve for x
    x = 32,384,963,108.20/208,205.69
  6. Step 6: Final answer
    x = 155,543.13

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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.