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Finding the Fourth Proportional to 219,842.70, 329,873.40 and 86,727.30

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Solution

The fourth proportional to 219,842.70, 329,873.40 and 86,727.30 is: 130,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,842.70 : 329,873.40 = 86,727.30 : x
  2. Step 2: Convert to fraction form
    219,842.70/329,873.40 = 86,727.30/x
  3. Step 3: Cross multiply
    219,842.70x = 329,873.40 × 86,727.30
  4. Step 4: Simplify right side
    219,842.70x = 28,609,029,323.82
  5. Step 5: Solve for x
    x = 28,609,029,323.82/219,842.70
  6. Step 6: Final answer
    x = 130,134.09

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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.