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Finding the Fourth Proportional to 315,884.43, 473,756.78 and 91,196.01

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Solution

The fourth proportional to 315,884.43, 473,756.78 and 91,196.01 is: 136,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,884.43 : 473,756.78 = 91,196.01 : x
  2. Step 2: Convert to fraction form
    315,884.43/473,756.78 = 91,196.01/x
  3. Step 3: Cross multiply
    315,884.43x = 473,756.78 × 91,196.01
  4. Step 4: Simplify right side
    315,884.43x = 43,204,728,274.44
  5. Step 5: Solve for x
    x = 43,204,728,274.44/315,884.43
  6. Step 6: Final answer
    x = 136,773.85

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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.