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Finding the Fourth Proportional to 338,893.28, 508,343.57 and 102,238.01

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Solution

The fourth proportional to 338,893.28, 508,343.57 and 102,238.01 is: 153,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,893.28 : 508,343.57 = 102,238.01 : x
  2. Step 2: Convert to fraction form
    338,893.28/508,343.57 = 102,238.01/x
  3. Step 3: Cross multiply
    338,893.28x = 508,343.57 × 102,238.01
  4. Step 4: Simplify right side
    338,893.28x = 51,972,034,993.10
  5. Step 5: Solve for x
    x = 51,972,034,993.10/338,893.28
  6. Step 6: Final answer
    x = 153,358.12

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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.