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Finding the Fourth Proportional to 195,706.82, 293,609.45 and 55,465.45

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Solution

The fourth proportional to 195,706.82, 293,609.45 and 55,465.45 is: 83,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,706.82 : 293,609.45 = 55,465.45 : x
  2. Step 2: Convert to fraction form
    195,706.82/293,609.45 = 55,465.45/x
  3. Step 3: Cross multiply
    195,706.82x = 293,609.45 × 55,465.45
  4. Step 4: Simplify right side
    195,706.82x = 16,285,180,268.50
  5. Step 5: Solve for x
    x = 16,285,180,268.50/195,706.82
  6. Step 6: Final answer
    x = 83,212.12

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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.