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Finding the Fourth Proportional to 100,816.34, 150,991.23 and 97,317.14

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Solution

The fourth proportional to 100,816.34, 150,991.23 and 97,317.14 is: 145,750.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,816.34 : 150,991.23 = 97,317.14 : x
  2. Step 2: Convert to fraction form
    100,816.34/150,991.23 = 97,317.14/x
  3. Step 3: Cross multiply
    100,816.34x = 150,991.23 × 97,317.14
  4. Step 4: Simplify right side
    100,816.34x = 14,694,034,668.68
  5. Step 5: Solve for x
    x = 14,694,034,668.68/100,816.34
  6. Step 6: Final answer
    x = 145,750.53

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1.5x scale

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.