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Finding the Fourth Proportional to 195,738, 293,621.64 and 55,507.92

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Solution

The fourth proportional to 195,738, 293,621.64 and 55,507.92 is: 83,266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,738 : 293,621.64 = 55,507.92 : x
  2. Step 2: Convert to fraction form
    195,738/293,621.64 = 55,507.92/x
  3. Step 3: Cross multiply
    195,738x = 293,621.64 × 55,507.92
  4. Step 4: Simplify right side
    195,738x = 16,298,326,503.39
  5. Step 5: Solve for x
    x = 16,298,326,503.39/195,738
  6. Step 6: Final answer
    x = 83,266.03

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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.