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Finding the Fourth Proportional to 231,923.52, 320,117.52 and 136,461

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Solution

The fourth proportional to 231,923.52, 320,117.52 and 136,461 is: 188,353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,923.52 : 320,117.52 = 136,461 : x
  2. Step 2: Convert to fraction form
    231,923.52/320,117.52 = 136,461/x
  3. Step 3: Cross multiply
    231,923.52x = 320,117.52 × 136,461
  4. Step 4: Simplify right side
    231,923.52x = 43,683,556,896.72
  5. Step 5: Solve for x
    x = 43,683,556,896.72/231,923.52
  6. Step 6: Final answer
    x = 188,353.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.