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Finding the Fourth Proportional to 201,614.80, 302,410.04 and 89,262.16

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Solution

The fourth proportional to 201,614.80, 302,410.04 and 89,262.16 is: 133,887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,614.80 : 302,410.04 = 89,262.16 : x
  2. Step 2: Convert to fraction form
    201,614.80/302,410.04 = 89,262.16/x
  3. Step 3: Cross multiply
    201,614.80x = 302,410.04 × 89,262.16
  4. Step 4: Simplify right side
    201,614.80x = 26,993,773,376.09
  5. Step 5: Solve for x
    x = 26,993,773,376.09/201,614.80
  6. Step 6: Final answer
    x = 133,887.86

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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.