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Finding the Fourth Proportional to 206,856.81, 285,493.32 and 126,330.66

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Solution

The fourth proportional to 206,856.81, 285,493.32 and 126,330.66 is: 174,355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,856.81 : 285,493.32 = 126,330.66 : x
  2. Step 2: Convert to fraction form
    206,856.81/285,493.32 = 126,330.66/x
  3. Step 3: Cross multiply
    206,856.81x = 285,493.32 × 126,330.66
  4. Step 4: Simplify right side
    206,856.81x = 36,066,559,541.19
  5. Step 5: Solve for x
    x = 36,066,559,541.19/206,856.81
  6. Step 6: Final answer
    x = 174,355.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.