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Finding the Fourth Proportional to 201,644.16, 302,395.76 and 59,451.70

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Solution

The fourth proportional to 201,644.16, 302,395.76 and 59,451.70 is: 89,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,644.16 : 302,395.76 = 59,451.70 : x
  2. Step 2: Convert to fraction form
    201,644.16/302,395.76 = 59,451.70/x
  3. Step 3: Cross multiply
    201,644.16x = 302,395.76 × 59,451.70
  4. Step 4: Simplify right side
    201,644.16x = 17,977,940,723.78
  5. Step 5: Solve for x
    x = 17,977,940,723.78/201,644.16
  6. Step 6: Final answer
    x = 89,156.76

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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.