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Finding the Fourth Proportional to 216,285.34, 298,472.82 and 119,489.20

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Solution

The fourth proportional to 216,285.34, 298,472.82 and 119,489.20 is: 164,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,285.34 : 298,472.82 = 119,489.20 : x
  2. Step 2: Convert to fraction form
    216,285.34/298,472.82 = 119,489.20/x
  3. Step 3: Cross multiply
    216,285.34x = 298,472.82 × 119,489.20
  4. Step 4: Simplify right side
    216,285.34x = 35,664,278,483.54
  5. Step 5: Solve for x
    x = 35,664,278,483.54/216,285.34
  6. Step 6: Final answer
    x = 164,894.57

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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.