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Finding the Fourth Proportional to 201,769.16, 302,652.78 and 61,527.32

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Solution

The fourth proportional to 201,769.16, 302,652.78 and 61,527.32 is: 92,290.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,769.16 : 302,652.78 = 61,527.32 : x
  2. Step 2: Convert to fraction form
    201,769.16/302,652.78 = 61,527.32/x
  3. Step 3: Cross multiply
    201,769.16x = 302,652.78 × 61,527.32
  4. Step 4: Simplify right side
    201,769.16x = 18,621,414,443.95
  5. Step 5: Solve for x
    x = 18,621,414,443.95/201,769.16
  6. Step 6: Final answer
    x = 92,290.69

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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.