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Finding the Fourth Proportional to 159,248.14, 238,913.26 and 114,321.58

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Solution

The fourth proportional to 159,248.14, 238,913.26 and 114,321.58 is: 171,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,248.14 : 238,913.26 = 114,321.58 : x
  2. Step 2: Convert to fraction form
    159,248.14/238,913.26 = 114,321.58/x
  3. Step 3: Cross multiply
    159,248.14x = 238,913.26 × 114,321.58
  4. Step 4: Simplify right side
    159,248.14x = 27,312,941,366.15
  5. Step 5: Solve for x
    x = 27,312,941,366.15/159,248.14
  6. Step 6: Final answer
    x = 171,511.84

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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.