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Finding the Fourth Proportional to 233,295.92, 321,948.45 and 136,518.38

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Solution

The fourth proportional to 233,295.92, 321,948.45 and 136,518.38 is: 188,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,295.92 : 321,948.45 = 136,518.38 : x
  2. Step 2: Convert to fraction form
    233,295.92/321,948.45 = 136,518.38/x
  3. Step 3: Cross multiply
    233,295.92x = 321,948.45 × 136,518.38
  4. Step 4: Simplify right side
    233,295.92x = 43,951,881,130.44
  5. Step 5: Solve for x
    x = 43,951,881,130.44/233,295.92
  6. Step 6: Final answer
    x = 188,395.41

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Why These Related Problems?

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