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Finding the Fourth Proportional to 146,020.13, 219,053.88 and 57,225.50

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Solution

The fourth proportional to 146,020.13, 219,053.88 and 57,225.50 is: 85,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,020.13 : 219,053.88 = 57,225.50 : x
  2. Step 2: Convert to fraction form
    146,020.13/219,053.88 = 57,225.50/x
  3. Step 3: Cross multiply
    146,020.13x = 219,053.88 × 57,225.50
  4. Step 4: Simplify right side
    146,020.13x = 12,535,466,714.67
  5. Step 5: Solve for x
    x = 12,535,466,714.67/146,020.13
  6. Step 6: Final answer
    x = 85,847.53

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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.