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Finding the Fourth Proportional to 208,697.42, 287,682.87 and 127,975.25

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Solution

The fourth proportional to 208,697.42, 287,682.87 and 127,975.25 is: 176,409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,697.42 : 287,682.87 = 127,975.25 : x
  2. Step 2: Convert to fraction form
    208,697.42/287,682.87 = 127,975.25/x
  3. Step 3: Cross multiply
    208,697.42x = 287,682.87 × 127,975.25
  4. Step 4: Simplify right side
    208,697.42x = 36,816,288,408.08
  5. Step 5: Solve for x
    x = 36,816,288,408.08/208,697.42
  6. Step 6: Final answer
    x = 176,409.89

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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.