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Finding the Fourth Proportional to 231,637.72, 347,369.10 and 98,580.64

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Solution

The fourth proportional to 231,637.72, 347,369.10 and 98,580.64 is: 147,833.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,637.72 : 347,369.10 = 98,580.64 : x
  2. Step 2: Convert to fraction form
    231,637.72/347,369.10 = 98,580.64/x
  3. Step 3: Cross multiply
    231,637.72x = 347,369.10 × 98,580.64
  4. Step 4: Simplify right side
    231,637.72x = 34,243,868,194.22
  5. Step 5: Solve for x
    x = 34,243,868,194.22/231,637.72
  6. Step 6: Final answer
    x = 147,833.73

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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.