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Finding the Fourth Proportional to 203,162.86, 304,822.08 and 97,973.02

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Solution

The fourth proportional to 203,162.86, 304,822.08 and 97,973.02 is: 146,997.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,162.86 : 304,822.08 = 97,973.02 : x
  2. Step 2: Convert to fraction form
    203,162.86/304,822.08 = 97,973.02/x
  3. Step 3: Cross multiply
    203,162.86x = 304,822.08 × 97,973.02
  4. Step 4: Simplify right side
    203,162.86x = 29,864,339,740.28
  5. Step 5: Solve for x
    x = 29,864,339,740.28/203,162.86
  6. Step 6: Final answer
    x = 146,997.04

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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.