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Finding the Fourth Proportional to 159,289.48, 238,904.46 and 64,494.60

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Solution

The fourth proportional to 159,289.48, 238,904.46 and 64,494.60 is: 96,729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,289.48 : 238,904.46 = 64,494.60 : x
  2. Step 2: Convert to fraction form
    159,289.48/238,904.46 = 64,494.60/x
  3. Step 3: Cross multiply
    159,289.48x = 238,904.46 × 64,494.60
  4. Step 4: Simplify right side
    159,289.48x = 15,408,047,585.92
  5. Step 5: Solve for x
    x = 15,408,047,585.92/159,289.48
  6. Step 6: Final answer
    x = 96,729.85

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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.