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Finding the Fourth Proportional to 159,338.34, 238,859.89 and 54,083.50

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Solution

The fourth proportional to 159,338.34, 238,859.89 and 54,083.50 is: 81,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,338.34 : 238,859.89 = 54,083.50 : x
  2. Step 2: Convert to fraction form
    159,338.34/238,859.89 = 54,083.50/x
  3. Step 3: Cross multiply
    159,338.34x = 238,859.89 × 54,083.50
  4. Step 4: Simplify right side
    159,338.34x = 12,918,378,128.46
  5. Step 5: Solve for x
    x = 12,918,378,128.46/159,338.34
  6. Step 6: Final answer
    x = 81,075.14

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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.