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Finding the Fourth Proportional to 146,590.00, 219,917.24 and 83,439.86

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Solution

The fourth proportional to 146,590.00, 219,917.24 and 83,439.86 is: 125,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,590.00 : 219,917.24 = 83,439.86 : x
  2. Step 2: Convert to fraction form
    146,590.00/219,917.24 = 83,439.86/x
  3. Step 3: Cross multiply
    146,590.00x = 219,917.24 × 83,439.86
  4. Step 4: Simplify right side
    146,590.00x = 18,349,864,475.58
  5. Step 5: Solve for x
    x = 18,349,864,475.58/146,590.00
  6. Step 6: Final answer
    x = 125,178.15

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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.