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Finding the Fourth Proportional to 201,943.36, 302,580.24 and 122,818.24

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Solution

The fourth proportional to 201,943.36, 302,580.24 and 122,818.24 is: 184,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,943.36 : 302,580.24 = 122,818.24 : x
  2. Step 2: Convert to fraction form
    201,943.36/302,580.24 = 122,818.24/x
  3. Step 3: Cross multiply
    201,943.36x = 302,580.24 × 122,818.24
  4. Step 4: Simplify right side
    201,943.36x = 37,162,372,535.58
  5. Step 5: Solve for x
    x = 37,162,372,535.58/201,943.36
  6. Step 6: Final answer
    x = 184,023.74

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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.