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Finding the Fourth Proportional to 140,895.88, 194,436.32 and 77,232.31

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Solution

The fourth proportional to 140,895.88, 194,436.32 and 77,232.31 is: 106,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,895.88 : 194,436.32 = 77,232.31 : x
  2. Step 2: Convert to fraction form
    140,895.88/194,436.32 = 77,232.31/x
  3. Step 3: Cross multiply
    140,895.88x = 194,436.32 × 77,232.31
  4. Step 4: Simplify right side
    140,895.88x = 15,016,765,269.25
  5. Step 5: Solve for x
    x = 15,016,765,269.25/140,895.88
  6. Step 6: Final answer
    x = 106,580.59

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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.