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Finding the Fourth Proportional to 215,906.82, 297,950.50 and 119,108.07

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Solution

The fourth proportional to 215,906.82, 297,950.50 and 119,108.07 is: 164,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,906.82 : 297,950.50 = 119,108.07 : x
  2. Step 2: Convert to fraction form
    215,906.82/297,950.50 = 119,108.07/x
  3. Step 3: Cross multiply
    215,906.82x = 297,950.50 × 119,108.07
  4. Step 4: Simplify right side
    215,906.82x = 35,488,309,159.42
  5. Step 5: Solve for x
    x = 35,488,309,159.42/215,906.82
  6. Step 6: Final answer
    x = 164,368.64

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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.