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Finding the Fourth Proportional to 208,156.25, 287,262.57 and 127,568.20

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Solution

The fourth proportional to 208,156.25, 287,262.57 and 127,568.20 is: 176,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,156.25 : 287,262.57 = 127,568.20 : x
  2. Step 2: Convert to fraction form
    208,156.25/287,262.57 = 127,568.20/x
  3. Step 3: Cross multiply
    208,156.25x = 287,262.57 × 127,568.20
  4. Step 4: Simplify right side
    208,156.25x = 36,645,568,264.12
  5. Step 5: Solve for x
    x = 36,645,568,264.12/208,156.25
  6. Step 6: Final answer
    x = 176,048.37

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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.