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Finding the Fourth Proportional to 195,739, 293,623.14 and 55,508.92

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Solution

The fourth proportional to 195,739, 293,623.14 and 55,508.92 is: 83,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,739 : 293,623.14 = 55,508.92 : x
  2. Step 2: Convert to fraction form
    195,739/293,623.14 = 55,508.92/x
  3. Step 3: Cross multiply
    195,739x = 293,623.14 × 55,508.92
  4. Step 4: Simplify right side
    195,739x = 16,298,703,388.41
  5. Step 5: Solve for x
    x = 16,298,703,388.41/195,739
  6. Step 6: Final answer
    x = 83,267.53

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1.5x scale

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.