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Finding the Fourth Proportional to 164,772.83, 247,159.24 and 52,452.56

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Solution

The fourth proportional to 164,772.83, 247,159.24 and 52,452.56 is: 78,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,772.83 : 247,159.24 = 52,452.56 : x
  2. Step 2: Convert to fraction form
    164,772.83/247,159.24 = 52,452.56/x
  3. Step 3: Cross multiply
    164,772.83x = 247,159.24 × 52,452.56
  4. Step 4: Simplify right side
    164,772.83x = 12,964,133,367.60
  5. Step 5: Solve for x
    x = 12,964,133,367.60/164,772.83
  6. Step 6: Final answer
    x = 78,678.83

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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.