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Finding the Fourth Proportional to 159,056.10, 238,584.15 and 154,448.10

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Solution

The fourth proportional to 159,056.10, 238,584.15 and 154,448.10 is: 231,672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,056.10 : 238,584.15 = 154,448.10 : x
  2. Step 2: Convert to fraction form
    159,056.10/238,584.15 = 154,448.10/x
  3. Step 3: Cross multiply
    159,056.10x = 238,584.15 × 154,448.10
  4. Step 4: Simplify right side
    159,056.10x = 36,848,868,657.62
  5. Step 5: Solve for x
    x = 36,848,868,657.62/159,056.10
  6. Step 6: Final answer
    x = 231,672.15

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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.