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Finding the Fourth Proportional to 270,661.56, 406,019.64 and 93,145.20

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Solution

The fourth proportional to 270,661.56, 406,019.64 and 93,145.20 is: 139,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,661.56 : 406,019.64 = 93,145.20 : x
  2. Step 2: Convert to fraction form
    270,661.56/406,019.64 = 93,145.20/x
  3. Step 3: Cross multiply
    270,661.56x = 406,019.64 × 93,145.20
  4. Step 4: Simplify right side
    270,661.56x = 37,818,780,571.73
  5. Step 5: Solve for x
    x = 37,818,780,571.73/270,661.56
  6. Step 6: Final answer
    x = 139,727.19

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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.