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Finding the Fourth Proportional to 208,142.78, 287,169.98 and 127,486.22

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Solution

The fourth proportional to 208,142.78, 287,169.98 and 127,486.22 is: 175,889.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,142.78 : 287,169.98 = 127,486.22 : x
  2. Step 2: Convert to fraction form
    208,142.78/287,169.98 = 127,486.22/x
  3. Step 3: Cross multiply
    208,142.78x = 287,169.98 × 127,486.22
  4. Step 4: Simplify right side
    208,142.78x = 36,610,215,247.68
  5. Step 5: Solve for x
    x = 36,610,215,247.68/208,142.78
  6. Step 6: Final answer
    x = 175,889.91

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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.