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Finding the Fourth Proportional to 332,094.78, 498,105.24 and 118,854.12

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Solution

The fourth proportional to 332,094.78, 498,105.24 and 118,854.12 is: 178,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,094.78 : 498,105.24 = 118,854.12 : x
  2. Step 2: Convert to fraction form
    332,094.78/498,105.24 = 118,854.12/x
  3. Step 3: Cross multiply
    332,094.78x = 498,105.24 × 118,854.12
  4. Step 4: Simplify right side
    332,094.78x = 59,201,859,967.59
  5. Step 5: Solve for x
    x = 59,201,859,967.59/332,094.78
  6. Step 6: Final answer
    x = 178,267.96

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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.