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Finding the Fourth Proportional to 208,073.49, 287,139.38 and 112,578.09

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Solution

The fourth proportional to 208,073.49, 287,139.38 and 112,578.09 is: 155,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,073.49 : 287,139.38 = 112,578.09 : x
  2. Step 2: Convert to fraction form
    208,073.49/287,139.38 = 112,578.09/x
  3. Step 3: Cross multiply
    208,073.49x = 287,139.38 × 112,578.09
  4. Step 4: Simplify right side
    208,073.49x = 32,325,602,401.29
  5. Step 5: Solve for x
    x = 32,325,602,401.29/208,073.49
  6. Step 6: Final answer
    x = 155,356.66

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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.