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Finding the Fourth Proportional to 230,882.56, 346,061.60 and 97,679.68

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Solution

The fourth proportional to 230,882.56, 346,061.60 and 97,679.68 is: 146,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,882.56 : 346,061.60 = 97,679.68 : x
  2. Step 2: Convert to fraction form
    230,882.56/346,061.60 = 97,679.68/x
  3. Step 3: Cross multiply
    230,882.56x = 346,061.60 × 97,679.68
  4. Step 4: Simplify right side
    230,882.56x = 33,803,186,348.29
  5. Step 5: Solve for x
    x = 33,803,186,348.29/230,882.56
  6. Step 6: Final answer
    x = 146,408.57

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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.