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Finding the Fourth Proportional to 215,887.19, 297,923.74 and 120,393.99

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Solution

The fourth proportional to 215,887.19, 297,923.74 and 120,393.99 is: 166,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,887.19 : 297,923.74 = 120,393.99 : x
  2. Step 2: Convert to fraction form
    215,887.19/297,923.74 = 120,393.99/x
  3. Step 3: Cross multiply
    215,887.19x = 297,923.74 × 120,393.99
  4. Step 4: Simplify right side
    215,887.19x = 35,868,227,473.34
  5. Step 5: Solve for x
    x = 35,868,227,473.34/215,887.19
  6. Step 6: Final answer
    x = 166,143.38

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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.