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Finding the Fourth Proportional to 401,107.33, 601,665.86 and 134,866.81

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Solution

The fourth proportional to 401,107.33, 601,665.86 and 134,866.81 is: 202,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,107.33 : 601,665.86 = 134,866.81 : x
  2. Step 2: Convert to fraction form
    401,107.33/601,665.86 = 134,866.81/x
  3. Step 3: Cross multiply
    401,107.33x = 601,665.86 × 134,866.81
  4. Step 4: Simplify right side
    401,107.33x = 81,144,755,224.11
  5. Step 5: Solve for x
    x = 81,144,755,224.11/401,107.33
  6. Step 6: Final answer
    x = 202,301.85

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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.