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Finding the Fourth Proportional to 202,225.70, 303,403.35 and 135,740.90

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Solution

The fourth proportional to 202,225.70, 303,403.35 and 135,740.90 is: 203,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,225.70 : 303,403.35 = 135,740.90 : x
  2. Step 2: Convert to fraction form
    202,225.70/303,403.35 = 135,740.90/x
  3. Step 3: Cross multiply
    202,225.70x = 303,403.35 × 135,740.90
  4. Step 4: Simplify right side
    202,225.70x = 41,184,243,792.02
  5. Step 5: Solve for x
    x = 41,184,243,792.02/202,225.70
  6. Step 6: Final answer
    x = 203,654.85

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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.