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Finding the Fourth Proportional to 159,754.96, 238,324.15 and 155,411.37

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Solution

The fourth proportional to 159,754.96, 238,324.15 and 155,411.37 is: 231,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,754.96 : 238,324.15 = 155,411.37 : x
  2. Step 2: Convert to fraction form
    159,754.96/238,324.15 = 155,411.37/x
  3. Step 3: Cross multiply
    159,754.96x = 238,324.15 × 155,411.37
  4. Step 4: Simplify right side
    159,754.96x = 37,038,282,267.06
  5. Step 5: Solve for x
    x = 37,038,282,267.06/159,754.96
  6. Step 6: Final answer
    x = 231,844.34

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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.