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Finding the Fourth Proportional to 175,278.40, 262,917.60 and 164,910.40

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Solution

The fourth proportional to 175,278.40, 262,917.60 and 164,910.40 is: 247,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,278.40 : 262,917.60 = 164,910.40 : x
  2. Step 2: Convert to fraction form
    175,278.40/262,917.60 = 164,910.40/x
  3. Step 3: Cross multiply
    175,278.40x = 262,917.60 × 164,910.40
  4. Step 4: Simplify right side
    175,278.40x = 43,357,846,583.04
  5. Step 5: Solve for x
    x = 43,357,846,583.04/175,278.40
  6. Step 6: Final answer
    x = 247,365.60

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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.