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Finding the Fourth Proportional to 191,912.62, 287,860.64 and 65,564.14

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Solution

The fourth proportional to 191,912.62, 287,860.64 and 65,564.14 is: 98,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,912.62 : 287,860.64 = 65,564.14 : x
  2. Step 2: Convert to fraction form
    191,912.62/287,860.64 = 65,564.14/x
  3. Step 3: Cross multiply
    191,912.62x = 287,860.64 × 65,564.14
  4. Step 4: Simplify right side
    191,912.62x = 18,873,335,301.45
  5. Step 5: Solve for x
    x = 18,873,335,301.45/191,912.62
  6. Step 6: Final answer
    x = 98,343.38

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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.