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Finding the Fourth Proportional to 201,837.80, 302,319.30 and 166,845.80

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Solution

The fourth proportional to 201,837.80, 302,319.30 and 166,845.80 is: 249,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,837.80 : 302,319.30 = 166,845.80 : x
  2. Step 2: Convert to fraction form
    201,837.80/302,319.30 = 166,845.80/x
  3. Step 3: Cross multiply
    201,837.80x = 302,319.30 × 166,845.80
  4. Step 4: Simplify right side
    201,837.80x = 50,440,705,463.94
  5. Step 5: Solve for x
    x = 50,440,705,463.94/201,837.80
  6. Step 6: Final answer
    x = 249,907.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.