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Finding the Fourth Proportional to 231,256.68, 346,900.14 and 71,313

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Solution

The fourth proportional to 231,256.68, 346,900.14 and 71,313 is: 106,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,256.68 : 346,900.14 = 71,313 : x
  2. Step 2: Convert to fraction form
    231,256.68/346,900.14 = 71,313/x
  3. Step 3: Cross multiply
    231,256.68x = 346,900.14 × 71,313
  4. Step 4: Simplify right side
    231,256.68x = 24,738,489,683.82
  5. Step 5: Solve for x
    x = 24,738,489,683.82/231,256.68
  6. Step 6: Final answer
    x = 106,974.16

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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.