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Finding the Fourth Proportional to 270,645.18, 406,005.44 and 112,837.34

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Solution

The fourth proportional to 270,645.18, 406,005.44 and 112,837.34 is: 169,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,645.18 : 406,005.44 = 112,837.34 : x
  2. Step 2: Convert to fraction form
    270,645.18/406,005.44 = 112,837.34/x
  3. Step 3: Cross multiply
    270,645.18x = 406,005.44 × 112,837.34
  4. Step 4: Simplify right side
    270,645.18x = 45,812,571,280.92
  5. Step 5: Solve for x
    x = 45,812,571,280.92/270,645.18
  6. Step 6: Final answer
    x = 169,271.71

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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.