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Finding the Fourth Proportional to 203,196.72, 304,683.98 and 161,345.64

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Solution

The fourth proportional to 203,196.72, 304,683.98 and 161,345.64 is: 241,930.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,196.72 : 304,683.98 = 161,345.64 : x
  2. Step 2: Convert to fraction form
    203,196.72/304,683.98 = 161,345.64/x
  3. Step 3: Cross multiply
    203,196.72x = 304,683.98 × 161,345.64
  4. Step 4: Simplify right side
    203,196.72x = 49,159,430,944.12
  5. Step 5: Solve for x
    x = 49,159,430,944.12/203,196.72
  6. Step 6: Final answer
    x = 241,930.24

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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.