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Finding the Fourth Proportional to 202,202.70, 303,109.65 and 157,199.10

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Solution

The fourth proportional to 202,202.70, 303,109.65 and 157,199.10 is: 235,647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,202.70 : 303,109.65 = 157,199.10 : x
  2. Step 2: Convert to fraction form
    202,202.70/303,109.65 = 157,199.10/x
  3. Step 3: Cross multiply
    202,202.70x = 303,109.65 × 157,199.10
  4. Step 4: Simplify right side
    202,202.70x = 47,648,564,181.32
  5. Step 5: Solve for x
    x = 47,648,564,181.32/202,202.70
  6. Step 6: Final answer
    x = 235,647.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.