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Finding the Fourth Proportional to 202,471.10, 303,706.65 and 142,109.90

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Solution

The fourth proportional to 202,471.10, 303,706.65 and 142,109.90 is: 213,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,471.10 : 303,706.65 = 142,109.90 : x
  2. Step 2: Convert to fraction form
    202,471.10/303,706.65 = 142,109.90/x
  3. Step 3: Cross multiply
    202,471.10x = 303,706.65 × 142,109.90
  4. Step 4: Simplify right side
    202,471.10x = 43,159,721,660.84
  5. Step 5: Solve for x
    x = 43,159,721,660.84/202,471.10
  6. Step 6: Final answer
    x = 213,164.85

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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.