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Finding the Fourth Proportional to 195,733, 293,614.14 and 55,502.92

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Solution

The fourth proportional to 195,733, 293,614.14 and 55,502.92 is: 83,258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,733 : 293,614.14 = 55,502.92 : x
  2. Step 2: Convert to fraction form
    195,733/293,614.14 = 55,502.92/x
  3. Step 3: Cross multiply
    195,733x = 293,614.14 × 55,502.92
  4. Step 4: Simplify right side
    195,733x = 16,296,442,123.29
  5. Step 5: Solve for x
    x = 16,296,442,123.29/195,733
  6. Step 6: Final answer
    x = 83,258.53

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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.