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Finding the Fourth Proportional to 146,635, 219,956.61 and 51,851.80

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Solution

The fourth proportional to 146,635, 219,956.61 and 51,851.80 is: 77,779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,635 : 219,956.61 = 51,851.80 : x
  2. Step 2: Convert to fraction form
    146,635/219,956.61 = 51,851.80/x
  3. Step 3: Cross multiply
    146,635x = 219,956.61 × 51,851.80
  4. Step 4: Simplify right side
    146,635x = 11,405,146,150.40
  5. Step 5: Solve for x
    x = 11,405,146,150.40/146,635
  6. Step 6: Final answer
    x = 77,779.15

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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.