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Finding the Fourth Proportional to 225,875.08, 311,717.38 and 135,213.50

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Solution

The fourth proportional to 225,875.08, 311,717.38 and 135,213.50 is: 186,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,875.08 : 311,717.38 = 135,213.50 : x
  2. Step 2: Convert to fraction form
    225,875.08/311,717.38 = 135,213.50/x
  3. Step 3: Cross multiply
    225,875.08x = 311,717.38 × 135,213.50
  4. Step 4: Simplify right side
    225,875.08x = 42,148,396,402.04
  5. Step 5: Solve for x
    x = 42,148,396,402.04/225,875.08
  6. Step 6: Final answer
    x = 186,600.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.