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Finding the Fourth Proportional to 146,214.90, 219,212.19 and 57,456.18

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Solution

The fourth proportional to 146,214.90, 219,212.19 and 57,456.18 is: 86,140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,214.90 : 219,212.19 = 57,456.18 : x
  2. Step 2: Convert to fraction form
    146,214.90/219,212.19 = 57,456.18/x
  3. Step 3: Cross multiply
    146,214.90x = 219,212.19 × 57,456.18
  4. Step 4: Simplify right side
    146,214.90x = 12,595,095,046.83
  5. Step 5: Solve for x
    x = 12,595,095,046.83/146,214.90
  6. Step 6: Final answer
    x = 86,140.98

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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.