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Finding the Fourth Proportional to 146,442.80, 219,664.20 and 87,345.20

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Solution

The fourth proportional to 146,442.80, 219,664.20 and 87,345.20 is: 131,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,442.80 : 219,664.20 = 87,345.20 : x
  2. Step 2: Convert to fraction form
    146,442.80/219,664.20 = 87,345.20/x
  3. Step 3: Cross multiply
    146,442.80x = 219,664.20 × 87,345.20
  4. Step 4: Simplify right side
    146,442.80x = 19,186,613,481.84
  5. Step 5: Solve for x
    x = 19,186,613,481.84/146,442.80
  6. Step 6: Final answer
    x = 131,017.80

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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.