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Finding the Fourth Proportional to 243,914.60, 365,871.91 and 160,789.16

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Solution

The fourth proportional to 243,914.60, 365,871.91 and 160,789.16 is: 241,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,914.60 : 365,871.91 = 160,789.16 : x
  2. Step 2: Convert to fraction form
    243,914.60/365,871.91 = 160,789.16/x
  3. Step 3: Cross multiply
    243,914.60x = 365,871.91 × 160,789.16
  4. Step 4: Simplify right side
    243,914.60x = 58,828,237,076.50
  5. Step 5: Solve for x
    x = 58,828,237,076.50/243,914.60
  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.