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Finding the Fourth Proportional to 208,003.86, 286,943.85 and 127,405.62

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Solution

The fourth proportional to 208,003.86, 286,943.85 and 127,405.62 is: 175,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,003.86 : 286,943.85 = 127,405.62 : x
  2. Step 2: Convert to fraction form
    208,003.86/286,943.85 = 127,405.62/x
  3. Step 3: Cross multiply
    208,003.86x = 286,943.85 × 127,405.62
  4. Step 4: Simplify right side
    208,003.86x = 36,558,259,114.44
  5. Step 5: Solve for x
    x = 36,558,259,114.44/208,003.86
  6. Step 6: Final answer
    x = 175,757.60

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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.