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Finding the Fourth Proportional to 186,227.70, 257,021.90 and 109,722.34

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Solution

The fourth proportional to 186,227.70, 257,021.90 and 109,722.34 is: 151,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,227.70 : 257,021.90 = 109,722.34 : x
  2. Step 2: Convert to fraction form
    186,227.70/257,021.90 = 109,722.34/x
  3. Step 3: Cross multiply
    186,227.70x = 257,021.90 × 109,722.34
  4. Step 4: Simplify right side
    186,227.70x = 28,201,044,299.25
  5. Step 5: Solve for x
    x = 28,201,044,299.25/186,227.70
  6. Step 6: Final answer
    x = 151,433.13

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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.