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Finding the Fourth Proportional to 201,744.46, 302,616.69 and 61,501.87

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Solution

The fourth proportional to 201,744.46, 302,616.69 and 61,501.87 is: 92,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,744.46 : 302,616.69 = 61,501.87 : x
  2. Step 2: Convert to fraction form
    201,744.46/302,616.69 = 61,501.87/x
  3. Step 3: Cross multiply
    201,744.46x = 302,616.69 × 61,501.87
  4. Step 4: Simplify right side
    201,744.46x = 18,611,492,328.21
  5. Step 5: Solve for x
    x = 18,611,492,328.21/201,744.46
  6. Step 6: Final answer
    x = 92,252.81

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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.