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Finding the Fourth Proportional to 164,811.20, 247,216.80 and 101,825.60

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Solution

The fourth proportional to 164,811.20, 247,216.80 and 101,825.60 is: 152,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,811.20 : 247,216.80 = 101,825.60 : x
  2. Step 2: Convert to fraction form
    164,811.20/247,216.80 = 101,825.60/x
  3. Step 3: Cross multiply
    164,811.20x = 247,216.80 × 101,825.60
  4. Step 4: Simplify right side
    164,811.20x = 25,172,998,990.08
  5. Step 5: Solve for x
    x = 25,172,998,990.08/164,811.20
  6. Step 6: Final answer
    x = 152,738.40

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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.