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Finding the Fourth Proportional to 243,914.61, 365,871.91 and 160,789.17

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Solution

The fourth proportional to 243,914.61, 365,871.91 and 160,789.17 is: 241,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,914.61 : 365,871.91 = 160,789.17 : x
  2. Step 2: Convert to fraction form
    243,914.61/365,871.91 = 160,789.17/x
  3. Step 3: Cross multiply
    243,914.61x = 365,871.91 × 160,789.17
  4. Step 4: Simplify right side
    243,914.61x = 58,828,238,905.86
  5. Step 5: Solve for x
    x = 58,828,238,905.86/243,914.61
  6. Step 6: Final answer
    x = 241,183.75

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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.