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Finding the Fourth Proportional to 146,446.38, 219,686.88 and 51,656.80

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Solution

The fourth proportional to 146,446.38, 219,686.88 and 51,656.80 is: 77,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,446.38 : 219,686.88 = 51,656.80 : x
  2. Step 2: Convert to fraction form
    146,446.38/219,686.88 = 51,656.80/x
  3. Step 3: Cross multiply
    146,446.38x = 219,686.88 × 51,656.80
  4. Step 4: Simplify right side
    146,446.38x = 11,348,321,222.78
  5. Step 5: Solve for x
    x = 11,348,321,222.78/146,446.38
  6. Step 6: Final answer
    x = 77,491.31

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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.