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Finding the Fourth Proportional to 146,143.20, 219,214.80 and 106,291.20

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Solution

The fourth proportional to 146,143.20, 219,214.80 and 106,291.20 is: 159,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,143.20 : 219,214.80 = 106,291.20 : x
  2. Step 2: Convert to fraction form
    146,143.20/219,214.80 = 106,291.20/x
  3. Step 3: Cross multiply
    146,143.20x = 219,214.80 × 106,291.20
  4. Step 4: Simplify right side
    146,143.20x = 23,300,604,149.76
  5. Step 5: Solve for x
    x = 23,300,604,149.76/146,143.20
  6. Step 6: Final answer
    x = 159,436.80

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1.5x scale

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.