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Finding the Fourth Proportional to 201,965.16, 302,914.90 and 95,348.91

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Solution

The fourth proportional to 201,965.16, 302,914.90 and 95,348.91 is: 143,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,965.16 : 302,914.90 = 95,348.91 : x
  2. Step 2: Convert to fraction form
    201,965.16/302,914.90 = 95,348.91/x
  3. Step 3: Cross multiply
    201,965.16x = 302,914.90 × 95,348.91
  4. Step 4: Simplify right side
    201,965.16x = 28,882,605,537.76
  5. Step 5: Solve for x
    x = 28,882,605,537.76/201,965.16
  6. Step 6: Final answer
    x = 143,007.86

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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.