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Finding the Fourth Proportional to 159,257.82, 238,834.41 and 70,509.42

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Solution

The fourth proportional to 159,257.82, 238,834.41 and 70,509.42 is: 105,740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,257.82 : 238,834.41 = 70,509.42 : x
  2. Step 2: Convert to fraction form
    159,257.82/238,834.41 = 70,509.42/x
  3. Step 3: Cross multiply
    159,257.82x = 238,834.41 × 70,509.42
  4. Step 4: Simplify right side
    159,257.82x = 16,840,075,725.14
  5. Step 5: Solve for x
    x = 16,840,075,725.14/159,257.82
  6. Step 6: Final answer
    x = 105,740.97

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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.