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Finding the Fourth Proportional to 270,844.41, 406,017.83 and 93,309.21

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Solution

The fourth proportional to 270,844.41, 406,017.83 and 93,309.21 is: 139,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,844.41 : 406,017.83 = 93,309.21 : x
  2. Step 2: Convert to fraction form
    270,844.41/406,017.83 = 93,309.21/x
  3. Step 3: Cross multiply
    270,844.41x = 406,017.83 × 93,309.21
  4. Step 4: Simplify right side
    270,844.41x = 37,885,202,496.67
  5. Step 5: Solve for x
    x = 37,885,202,496.67/270,844.41
  6. Step 6: Final answer
    x = 139,878.10

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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.