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Finding the Fourth Proportional to 245,475.50, 338,758.22 and 138,044.60

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Solution

The fourth proportional to 245,475.50, 338,758.22 and 138,044.60 is: 190,502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,475.50 : 338,758.22 = 138,044.60 : x
  2. Step 2: Convert to fraction form
    245,475.50/338,758.22 = 138,044.60/x
  3. Step 3: Cross multiply
    245,475.50x = 338,758.22 × 138,044.60
  4. Step 4: Simplify right side
    245,475.50x = 46,763,741,627.93
  5. Step 5: Solve for x
    x = 46,763,741,627.93/245,475.50
  6. Step 6: Final answer
    x = 190,502.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.