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Finding the Fourth Proportional to 201,213.76, 301,587.34 and 189,549.76

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Solution

The fourth proportional to 201,213.76, 301,587.34 and 189,549.76 is: 284,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,213.76 : 301,587.34 = 189,549.76 : x
  2. Step 2: Convert to fraction form
    201,213.76/301,587.34 = 189,549.76/x
  3. Step 3: Cross multiply
    201,213.76x = 301,587.34 × 189,549.76
  4. Step 4: Simplify right side
    201,213.76x = 57,165,807,916.04
  5. Step 5: Solve for x
    x = 57,165,807,916.04/201,213.76
  6. Step 6: Final answer
    x = 284,104.86

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1.5x scale

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.