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Finding the Fourth Proportional to 208,249.64, 287,169.70 and 178,134.65

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Solution

The fourth proportional to 208,249.64, 287,169.70 and 178,134.65 is: 245,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,249.64 : 287,169.70 = 178,134.65 : x
  2. Step 2: Convert to fraction form
    208,249.64/287,169.70 = 178,134.65/x
  3. Step 3: Cross multiply
    208,249.64x = 287,169.70 × 178,134.65
  4. Step 4: Simplify right side
    208,249.64x = 51,154,874,000.11
  5. Step 5: Solve for x
    x = 51,154,874,000.11/208,249.64
  6. Step 6: Final answer
    x = 245,642.08

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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.