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Finding the Fourth Proportional to 201,715.16, 302,572.41 and 61,473.78

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Solution

The fourth proportional to 201,715.16, 302,572.41 and 61,473.78 is: 92,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,715.16 : 302,572.41 = 61,473.78 : x
  2. Step 2: Convert to fraction form
    201,715.16/302,572.41 = 61,473.78/x
  3. Step 3: Cross multiply
    201,715.16x = 302,572.41 × 61,473.78
  4. Step 4: Simplify right side
    201,715.16x = 18,600,269,766.41
  5. Step 5: Solve for x
    x = 18,600,269,766.41/201,715.16
  6. Step 6: Final answer
    x = 92,210.57

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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.