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Finding the Fourth Proportional to 116,311.42, 160,527.42 and 71,015.80

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Solution

The fourth proportional to 116,311.42, 160,527.42 and 71,015.80 is: 98,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,311.42 : 160,527.42 = 71,015.80 : x
  2. Step 2: Convert to fraction form
    116,311.42/160,527.42 = 71,015.80/x
  3. Step 3: Cross multiply
    116,311.42x = 160,527.42 × 71,015.80
  4. Step 4: Simplify right side
    116,311.42x = 11,399,983,153.24
  5. Step 5: Solve for x
    x = 11,399,983,153.24/116,311.42
  6. Step 6: Final answer
    x = 98,012.59

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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.