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Finding the Fourth Proportional to 146,541.40, 219,812.10 and 102,218.20

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Solution

The fourth proportional to 146,541.40, 219,812.10 and 102,218.20 is: 153,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,541.40 : 219,812.10 = 102,218.20 : x
  2. Step 2: Convert to fraction form
    146,541.40/219,812.10 = 102,218.20/x
  3. Step 3: Cross multiply
    146,541.40x = 219,812.10 × 102,218.20
  4. Step 4: Simplify right side
    146,541.40x = 22,468,797,200.22
  5. Step 5: Solve for x
    x = 22,468,797,200.22/146,541.40
  6. Step 6: Final answer
    x = 153,327.30

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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.