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Finding the Fourth Proportional to 195,734, 293,615.64 and 55,503.92

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Solution

The fourth proportional to 195,734, 293,615.64 and 55,503.92 is: 83,260.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,734 : 293,615.64 = 55,503.92 : x
  2. Step 2: Convert to fraction form
    195,734/293,615.64 = 55,503.92/x
  3. Step 3: Cross multiply
    195,734x = 293,615.64 × 55,503.92
  4. Step 4: Simplify right side
    195,734x = 16,296,818,993.31
  5. Step 5: Solve for x
    x = 16,296,818,993.31/195,734
  6. Step 6: Final answer
    x = 83,260.03

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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.