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Finding the Fourth Proportional to 208,157.25, 287,264.01 and 127,569.24

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Solution

The fourth proportional to 208,157.25, 287,264.01 and 127,569.24 is: 176,049.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,157.25 : 287,264.01 = 127,569.24 : x
  2. Step 2: Convert to fraction form
    208,157.25/287,264.01 = 127,569.24/x
  3. Step 3: Cross multiply
    208,157.25x = 287,264.01 × 127,569.24
  4. Step 4: Simplify right side
    208,157.25x = 36,646,051,435.05
  5. Step 5: Solve for x
    x = 36,646,051,435.05/208,157.25
  6. Step 6: Final answer
    x = 176,049.84

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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.