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Finding the Fourth Proportional to 269,147.16, 403,707.29 and 100,655.06

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Solution

The fourth proportional to 269,147.16, 403,707.29 and 100,655.06 is: 150,977.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,147.16 : 403,707.29 = 100,655.06 : x
  2. Step 2: Convert to fraction form
    269,147.16/403,707.29 = 100,655.06/x
  3. Step 3: Cross multiply
    269,147.16x = 403,707.29 × 100,655.06
  4. Step 4: Simplify right side
    269,147.16x = 40,635,178,975.58
  5. Step 5: Solve for x
    x = 40,635,178,975.58/269,147.16
  6. Step 6: Final answer
    x = 150,977.55

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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.