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Finding the Fourth Proportional to 202,165.64, 302,617.43 and 148,917.66

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Solution

The fourth proportional to 202,165.64, 302,617.43 and 148,917.66 is: 222,911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,165.64 : 302,617.43 = 148,917.66 : x
  2. Step 2: Convert to fraction form
    202,165.64/302,617.43 = 148,917.66/x
  3. Step 3: Cross multiply
    202,165.64x = 302,617.43 × 148,917.66
  4. Step 4: Simplify right side
    202,165.64x = 45,065,078,806.23
  5. Step 5: Solve for x
    x = 45,065,078,806.23/202,165.64
  6. Step 6: Final answer
    x = 222,911.66

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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.