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Finding the Fourth Proportional to 202,538.40, 303,224.40 and 181,543.20

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Solution

The fourth proportional to 202,538.40, 303,224.40 and 181,543.20 is: 271,792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,538.40 : 303,224.40 = 181,543.20 : x
  2. Step 2: Convert to fraction form
    202,538.40/303,224.40 = 181,543.20/x
  3. Step 3: Cross multiply
    202,538.40x = 303,224.40 × 181,543.20
  4. Step 4: Simplify right side
    202,538.40x = 55,048,327,894.08
  5. Step 5: Solve for x
    x = 55,048,327,894.08/202,538.40
  6. Step 6: Final answer
    x = 271,792.05

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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.