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Finding the Fourth Proportional to 143,306.96, 214,960.94 and 43,468.01

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Solution

The fourth proportional to 143,306.96, 214,960.94 and 43,468.01 is: 65,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,306.96 : 214,960.94 = 43,468.01 : x
  2. Step 2: Convert to fraction form
    143,306.96/214,960.94 = 43,468.01/x
  3. Step 3: Cross multiply
    143,306.96x = 214,960.94 × 43,468.01
  4. Step 4: Simplify right side
    143,306.96x = 9,343,923,966.49
  5. Step 5: Solve for x
    x = 9,343,923,966.49/143,306.96
  6. Step 6: Final answer
    x = 65,202.17

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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.