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Finding the Fourth Proportional to 210,120.96, 289,938.24 and 120,696.96

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Solution

The fourth proportional to 210,120.96, 289,938.24 and 120,696.96 is: 166,545.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,120.96 : 289,938.24 = 120,696.96 : x
  2. Step 2: Convert to fraction form
    210,120.96/289,938.24 = 120,696.96/x
  3. Step 3: Cross multiply
    210,120.96x = 289,938.24 × 120,696.96
  4. Step 4: Simplify right side
    210,120.96x = 34,994,664,155.75
  5. Step 5: Solve for x
    x = 34,994,664,155.75/210,120.96
  6. Step 6: Final answer
    x = 166,545.33

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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.