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Finding the Fourth Proportional to 202,851.40, 303,693.90 and 181,856.20

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Solution

The fourth proportional to 202,851.40, 303,693.90 and 181,856.20 is: 272,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,851.40 : 303,693.90 = 181,856.20 : x
  2. Step 2: Convert to fraction form
    202,851.40/303,693.90 = 181,856.20/x
  3. Step 3: Cross multiply
    202,851.40x = 303,693.90 × 181,856.20
  4. Step 4: Simplify right side
    202,851.40x = 55,228,618,617.18
  5. Step 5: Solve for x
    x = 55,228,618,617.18/202,851.40
  6. Step 6: Final answer
    x = 272,261.46

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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.