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Finding the Fourth Proportional to 114,723, 158,317.74 and 64,422

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Solution

The fourth proportional to 114,723, 158,317.74 and 64,422 is: 88,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,723 : 158,317.74 = 64,422 : x
  2. Step 2: Convert to fraction form
    114,723/158,317.74 = 64,422/x
  3. Step 3: Cross multiply
    114,723x = 158,317.74 × 64,422
  4. Step 4: Simplify right side
    114,723x = 10,199,145,446.28
  5. Step 5: Solve for x
    x = 10,199,145,446.28/114,723
  6. Step 6: Final answer
    x = 88,902.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.