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Finding the Fourth Proportional to 191,063.22, 286,200.81 and 111,937.38

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Solution

The fourth proportional to 191,063.22, 286,200.81 and 111,937.38 is: 167,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,063.22 : 286,200.81 = 111,937.38 : x
  2. Step 2: Convert to fraction form
    191,063.22/286,200.81 = 111,937.38/x
  3. Step 3: Cross multiply
    191,063.22x = 286,200.81 × 111,937.38
  4. Step 4: Simplify right side
    191,063.22x = 32,036,568,825.28
  5. Step 5: Solve for x
    x = 32,036,568,825.28/191,063.22
  6. Step 6: Final answer
    x = 167,675.23

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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.