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Finding the Fourth Proportional to 208,151.84, 287,256.50 and 127,563.80

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Solution

The fourth proportional to 208,151.84, 287,256.50 and 127,563.80 is: 176,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,151.84 : 287,256.50 = 127,563.80 : x
  2. Step 2: Convert to fraction form
    208,151.84/287,256.50 = 127,563.80/x
  3. Step 3: Cross multiply
    208,151.84x = 287,256.50 × 127,563.80
  4. Step 4: Simplify right side
    208,151.84x = 36,643,531,033.61
  5. Step 5: Solve for x
    x = 36,643,531,033.61/208,151.84
  6. Step 6: Final answer
    x = 176,042.31

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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.