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Finding the Fourth Proportional to 191,902.22, 287,711.16 and 91,967.25

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Solution

The fourth proportional to 191,902.22, 287,711.16 and 91,967.25 is: 137,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,902.22 : 287,711.16 = 91,967.25 : x
  2. Step 2: Convert to fraction form
    191,902.22/287,711.16 = 91,967.25/x
  3. Step 3: Cross multiply
    191,902.22x = 287,711.16 × 91,967.25
  4. Step 4: Simplify right side
    191,902.22x = 26,460,004,179.51
  5. Step 5: Solve for x
    x = 26,460,004,179.51/191,902.22
  6. Step 6: Final answer
    x = 137,882.75

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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.