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Finding the Fourth Proportional to 107,834, 161,572.12 and 65,586.24

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Solution

The fourth proportional to 107,834, 161,572.12 and 65,586.24 is: 98,270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,834 : 161,572.12 = 65,586.24 : x
  2. Step 2: Convert to fraction form
    107,834/161,572.12 = 65,586.24/x
  3. Step 3: Cross multiply
    107,834x = 161,572.12 × 65,586.24
  4. Step 4: Simplify right side
    107,834x = 10,596,907,839.63
  5. Step 5: Solve for x
    x = 10,596,907,839.63/107,834
  6. Step 6: Final answer
    x = 98,270.56

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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.