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Finding the Fourth Proportional to 214,757.15, 296,373.80 and 119,264.63

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Solution

The fourth proportional to 214,757.15, 296,373.80 and 119,264.63 is: 164,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,757.15 : 296,373.80 = 119,264.63 : x
  2. Step 2: Convert to fraction form
    214,757.15/296,373.80 = 119,264.63/x
  3. Step 3: Cross multiply
    214,757.15x = 296,373.80 × 119,264.63
  4. Step 4: Simplify right side
    214,757.15x = 35,346,910,414.99
  5. Step 5: Solve for x
    x = 35,346,910,414.99/214,757.15
  6. Step 6: Final answer
    x = 164,590.15

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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.