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Finding the Fourth Proportional to 202,202.96, 303,340.10 and 69,052.01

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Solution

The fourth proportional to 202,202.96, 303,340.10 and 69,052.01 is: 103,590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,202.96 : 303,340.10 = 69,052.01 : x
  2. Step 2: Convert to fraction form
    202,202.96/303,340.10 = 69,052.01/x
  3. Step 3: Cross multiply
    202,202.96x = 303,340.10 × 69,052.01
  4. Step 4: Simplify right side
    202,202.96x = 20,946,241,756.64
  5. Step 5: Solve for x
    x = 20,946,241,756.64/202,202.96
  6. Step 6: Final answer
    x = 103,590.19

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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.