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Finding the Fourth Proportional to 165,153.50, 247,729.22 and 46,824.84

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Solution

The fourth proportional to 165,153.50, 247,729.22 and 46,824.84 is: 70,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,153.50 : 247,729.22 = 46,824.84 : x
  2. Step 2: Convert to fraction form
    165,153.50/247,729.22 = 46,824.84/x
  3. Step 3: Cross multiply
    165,153.50x = 247,729.22 × 46,824.84
  4. Step 4: Simplify right side
    165,153.50x = 11,599,881,089.82
  5. Step 5: Solve for x
    x = 11,599,881,089.82/165,153.50
  6. Step 6: Final answer
    x = 70,236.97

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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.