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Finding the Fourth Proportional to 214,699.52, 296,279.70 and 119,203.76

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Solution

The fourth proportional to 214,699.52, 296,279.70 and 119,203.76 is: 164,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,699.52 : 296,279.70 = 119,203.76 : x
  2. Step 2: Convert to fraction form
    214,699.52/296,279.70 = 119,203.76/x
  3. Step 3: Cross multiply
    214,699.52x = 296,279.70 × 119,203.76
  4. Step 4: Simplify right side
    214,699.52x = 35,317,654,251.67
  5. Step 5: Solve for x
    x = 35,317,654,251.67/214,699.52
  6. Step 6: Final answer
    x = 164,498.06

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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.