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Finding the Fourth Proportional to 114,392.25, 157,861.31 and 69,680.25

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Solution

The fourth proportional to 114,392.25, 157,861.31 and 69,680.25 is: 96,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,392.25 : 157,861.31 = 69,680.25 : x
  2. Step 2: Convert to fraction form
    114,392.25/157,861.31 = 69,680.25/x
  3. Step 3: Cross multiply
    114,392.25x = 157,861.31 × 69,680.25
  4. Step 4: Simplify right side
    114,392.25x = 10,999,815,197.73
  5. Step 5: Solve for x
    x = 10,999,815,197.73/114,392.25
  6. Step 6: Final answer
    x = 96,158.75

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1.5x scale

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.