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Finding the Fourth Proportional to 164,785.80, 247,164.30 and 53,977.80

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Solution

The fourth proportional to 164,785.80, 247,164.30 and 53,977.80 is: 80,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,785.80 : 247,164.30 = 53,977.80 : x
  2. Step 2: Convert to fraction form
    164,785.80/247,164.30 = 53,977.80/x
  3. Step 3: Cross multiply
    164,785.80x = 247,164.30 × 53,977.80
  4. Step 4: Simplify right side
    164,785.80x = 13,341,385,152.54
  5. Step 5: Solve for x
    x = 13,341,385,152.54/164,785.80
  6. Step 6: Final answer
    x = 80,961.98

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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.