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Finding the Fourth Proportional to 216,023.40, 324,035.10 and 109,735.20

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Solution

The fourth proportional to 216,023.40, 324,035.10 and 109,735.20 is: 164,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,023.40 : 324,035.10 = 109,735.20 : x
  2. Step 2: Convert to fraction form
    216,023.40/324,035.10 = 109,735.20/x
  3. Step 3: Cross multiply
    216,023.40x = 324,035.10 × 109,735.20
  4. Step 4: Simplify right side
    216,023.40x = 35,558,056,505.52
  5. Step 5: Solve for x
    x = 35,558,056,505.52/216,023.40
  6. Step 6: Final answer
    x = 164,602.80

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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.