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Finding the Fourth Proportional to 159,202.14, 238,794.57 and 48,385.50

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Solution

The fourth proportional to 159,202.14, 238,794.57 and 48,385.50 is: 72,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,202.14 : 238,794.57 = 48,385.50 : x
  2. Step 2: Convert to fraction form
    159,202.14/238,794.57 = 48,385.50/x
  3. Step 3: Cross multiply
    159,202.14x = 238,794.57 × 48,385.50
  4. Step 4: Simplify right side
    159,202.14x = 11,554,194,666.74
  5. Step 5: Solve for x
    x = 11,554,194,666.74/159,202.14
  6. Step 6: Final answer
    x = 72,575.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.