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Finding the Fourth Proportional to 214,848.99, 322,306.91 and 65,053.61

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Solution

The fourth proportional to 214,848.99, 322,306.91 and 65,053.61 is: 97,590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,848.99 : 322,306.91 = 65,053.61 : x
  2. Step 2: Convert to fraction form
    214,848.99/322,306.91 = 65,053.61/x
  3. Step 3: Cross multiply
    214,848.99x = 322,306.91 × 65,053.61
  4. Step 4: Simplify right side
    214,848.99x = 20,967,228,991.85
  5. Step 5: Solve for x
    x = 20,967,228,991.85/214,848.99
  6. Step 6: Final answer
    x = 97,590.54

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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.