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Finding the Fourth Proportional to 214,885.08, 296,302.38 and 146,913.12

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Solution

The fourth proportional to 214,885.08, 296,302.38 and 146,913.12 is: 202,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,885.08 : 296,302.38 = 146,913.12 : x
  2. Step 2: Convert to fraction form
    214,885.08/296,302.38 = 146,913.12/x
  3. Step 3: Cross multiply
    214,885.08x = 296,302.38 × 146,913.12
  4. Step 4: Simplify right side
    214,885.08x = 43,530,707,109.23
  5. Step 5: Solve for x
    x = 43,530,707,109.23/214,885.08
  6. Step 6: Final answer
    x = 202,576.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.