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Finding the Fourth Proportional to 208,595.34, 310,209.48 and 201,952.38

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Solution

The fourth proportional to 208,595.34, 310,209.48 and 201,952.38 is: 300,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,595.34 : 310,209.48 = 201,952.38 : x
  2. Step 2: Convert to fraction form
    208,595.34/310,209.48 = 201,952.38/x
  3. Step 3: Cross multiply
    208,595.34x = 310,209.48 × 201,952.38
  4. Step 4: Simplify right side
    208,595.34x = 62,647,542,784.56
  5. Step 5: Solve for x
    x = 62,647,542,784.56/208,595.34
  6. Step 6: Final answer
    x = 300,330.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.