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Finding the Fourth Proportional to 146,056.50, 219,084.75 and 35,248.50

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Solution

The fourth proportional to 146,056.50, 219,084.75 and 35,248.50 is: 52,872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,056.50 : 219,084.75 = 35,248.50 : x
  2. Step 2: Convert to fraction form
    146,056.50/219,084.75 = 35,248.50/x
  3. Step 3: Cross multiply
    146,056.50x = 219,084.75 × 35,248.50
  4. Step 4: Simplify right side
    146,056.50x = 7,722,408,810.38
  5. Step 5: Solve for x
    x = 7,722,408,810.38/146,056.50
  6. Step 6: Final answer
    x = 52,872.75

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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.