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Finding the Fourth Proportional to 201,364.35, 302,039.69 and 51,606.11

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Solution

The fourth proportional to 201,364.35, 302,039.69 and 51,606.11 is: 77,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,364.35 : 302,039.69 = 51,606.11 : x
  2. Step 2: Convert to fraction form
    201,364.35/302,039.69 = 51,606.11/x
  3. Step 3: Cross multiply
    201,364.35x = 302,039.69 × 51,606.11
  4. Step 4: Simplify right side
    201,364.35x = 15,587,093,494.01
  5. Step 5: Solve for x
    x = 15,587,093,494.01/201,364.35
  6. Step 6: Final answer
    x = 77,407.41

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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.