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Finding the Fourth Proportional to 230,534.40, 345,812.40 and 112,064.48

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Solution

The fourth proportional to 230,534.40, 345,812.40 and 112,064.48 is: 168,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,534.40 : 345,812.40 = 112,064.48 : x
  2. Step 2: Convert to fraction form
    230,534.40/345,812.40 = 112,064.48/x
  3. Step 3: Cross multiply
    230,534.40x = 345,812.40 × 112,064.48
  4. Step 4: Simplify right side
    230,534.40x = 38,753,286,783.55
  5. Step 5: Solve for x
    x = 38,753,286,783.55/230,534.40
  6. Step 6: Final answer
    x = 168,101.97

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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.