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Finding the Fourth Proportional to 208,115.82, 287,199.83 and 112,622.51

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Solution

The fourth proportional to 208,115.82, 287,199.83 and 112,622.51 is: 155,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,115.82 : 287,199.83 = 112,622.51 : x
  2. Step 2: Convert to fraction form
    208,115.82/287,199.83 = 112,622.51/x
  3. Step 3: Cross multiply
    208,115.82x = 287,199.83 × 112,622.51
  4. Step 4: Simplify right side
    208,115.82x = 32,345,165,726.17
  5. Step 5: Solve for x
    x = 32,345,165,726.17/208,115.82
  6. Step 6: Final answer
    x = 155,419.06

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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.