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Finding the Fourth Proportional to 201,952.17, 302,917.23 and 61,710.80

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Solution

The fourth proportional to 201,952.17, 302,917.23 and 61,710.80 is: 92,562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,952.17 : 302,917.23 = 61,710.80 : x
  2. Step 2: Convert to fraction form
    201,952.17/302,917.23 = 61,710.80/x
  3. Step 3: Cross multiply
    201,952.17x = 302,917.23 × 61,710.80
  4. Step 4: Simplify right side
    201,952.17x = 18,693,263,082.50
  5. Step 5: Solve for x
    x = 18,693,263,082.50/201,952.17
  6. Step 6: Final answer
    x = 92,562.82

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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.