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Finding the Fourth Proportional to 208,151.68, 287,256.29 and 127,563.64

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Solution

The fourth proportional to 208,151.68, 287,256.29 and 127,563.64 is: 176,042.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,151.68 : 287,256.29 = 127,563.64 : x
  2. Step 2: Convert to fraction form
    208,151.68/287,256.29 = 127,563.64/x
  3. Step 3: Cross multiply
    208,151.68x = 287,256.29 × 127,563.64
  4. Step 4: Simplify right side
    208,151.68x = 36,643,456,609.34
  5. Step 5: Solve for x
    x = 36,643,456,609.34/208,151.68
  6. Step 6: Final answer
    x = 176,042.09

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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.