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Finding the Fourth Proportional to 214,601.68, 296,081.76 and 123,945.67

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Solution

The fourth proportional to 214,601.68, 296,081.76 and 123,945.67 is: 171,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,601.68 : 296,081.76 = 123,945.67 : x
  2. Step 2: Convert to fraction form
    214,601.68/296,081.76 = 123,945.67/x
  3. Step 3: Cross multiply
    214,601.68x = 296,081.76 × 123,945.67
  4. Step 4: Simplify right side
    214,601.68x = 36,698,052,117.98
  5. Step 5: Solve for x
    x = 36,698,052,117.98/214,601.68
  6. Step 6: Final answer
    x = 171,005.43

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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.