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Finding the Fourth Proportional to 214,885.12, 296,302.32 and 146,913.12

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Solution

The fourth proportional to 214,885.12, 296,302.32 and 146,913.12 is: 202,576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,885.12 : 296,302.32 = 146,913.12 : x
  2. Step 2: Convert to fraction form
    214,885.12/296,302.32 = 146,913.12/x
  3. Step 3: Cross multiply
    214,885.12x = 296,302.32 × 146,913.12
  4. Step 4: Simplify right side
    214,885.12x = 43,530,698,294.44
  5. Step 5: Solve for x
    x = 43,530,698,294.44/214,885.12
  6. Step 6: Final answer
    x = 202,576.61

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1.5x scale

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.