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Finding the Fourth Proportional to 215,178.22, 296,945.16 and 119,684.93

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Solution

The fourth proportional to 215,178.22, 296,945.16 and 119,684.93 is: 165,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,178.22 : 296,945.16 = 119,684.93 : x
  2. Step 2: Convert to fraction form
    215,178.22/296,945.16 = 119,684.93/x
  3. Step 3: Cross multiply
    215,178.22x = 296,945.16 × 119,684.93
  4. Step 4: Simplify right side
    215,178.22x = 35,539,858,754.89
  5. Step 5: Solve for x
    x = 35,539,858,754.89/215,178.22
  6. Step 6: Final answer
    x = 165,164.76

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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.