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Finding the Fourth Proportional to 117,157.62, 175,700.05 and 42,268

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Solution

The fourth proportional to 117,157.62, 175,700.05 and 42,268 is: 63,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,157.62 : 175,700.05 = 42,268 : x
  2. Step 2: Convert to fraction form
    117,157.62/175,700.05 = 42,268/x
  3. Step 3: Cross multiply
    117,157.62x = 175,700.05 × 42,268
  4. Step 4: Simplify right side
    117,157.62x = 7,426,489,713.40
  5. Step 5: Solve for x
    x = 7,426,489,713.40/117,157.62
  6. Step 6: Final answer
    x = 63,388.87

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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.