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Finding the Fourth Proportional to 208,189.87, 287,238.41 and 127,587.85

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Solution

The fourth proportional to 208,189.87, 287,238.41 and 127,587.85 is: 176,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,189.87 : 287,238.41 = 127,587.85 : x
  2. Step 2: Convert to fraction form
    208,189.87/287,238.41 = 127,587.85/x
  3. Step 3: Cross multiply
    208,189.87x = 287,238.41 × 127,587.85
  4. Step 4: Simplify right side
    208,189.87x = 36,648,130,531.38
  5. Step 5: Solve for x
    x = 36,648,130,531.38/208,189.87
  6. Step 6: Final answer
    x = 176,032.25

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1.5x scale

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.