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Finding the Fourth Proportional to 161,911.72, 241,631.06 and 144,197.02

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Solution

The fourth proportional to 161,911.72, 241,631.06 and 144,197.02 is: 215,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,911.72 : 241,631.06 = 144,197.02 : x
  2. Step 2: Convert to fraction form
    161,911.72/241,631.06 = 144,197.02/x
  3. Step 3: Cross multiply
    161,911.72x = 241,631.06 × 144,197.02
  4. Step 4: Simplify right side
    161,911.72x = 34,842,478,791.44
  5. Step 5: Solve for x
    x = 34,842,478,791.44/161,911.72
  6. Step 6: Final answer
    x = 215,194.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.