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Finding the Fourth Proportional to 269,301.52, 403,962.49 and 100,804.10

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Solution

The fourth proportional to 269,301.52, 403,962.49 and 100,804.10 is: 151,209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,301.52 : 403,962.49 = 100,804.10 : x
  2. Step 2: Convert to fraction form
    269,301.52/403,962.49 = 100,804.10/x
  3. Step 3: Cross multiply
    269,301.52x = 403,962.49 × 100,804.10
  4. Step 4: Simplify right side
    269,301.52x = 40,721,075,238.21
  5. Step 5: Solve for x
    x = 40,721,075,238.21/269,301.52
  6. Step 6: Final answer
    x = 151,209.97

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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.