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Finding the Fourth Proportional to 146,883.20, 220,324.80 and 105,411.20

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Solution

The fourth proportional to 146,883.20, 220,324.80 and 105,411.20 is: 158,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,883.20 : 220,324.80 = 105,411.20 : x
  2. Step 2: Convert to fraction form
    146,883.20/220,324.80 = 105,411.20/x
  3. Step 3: Cross multiply
    146,883.20x = 220,324.80 × 105,411.20
  4. Step 4: Simplify right side
    146,883.20x = 23,224,701,557.76
  5. Step 5: Solve for x
    x = 23,224,701,557.76/146,883.20
  6. Step 6: Final answer
    x = 158,116.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.