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Finding the Fourth Proportional to 214,348.82, 295,814.64 and 118,855.52

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Solution

The fourth proportional to 214,348.82, 295,814.64 and 118,855.52 is: 164,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,348.82 : 295,814.64 = 118,855.52 : x
  2. Step 2: Convert to fraction form
    214,348.82/295,814.64 = 118,855.52/x
  3. Step 3: Cross multiply
    214,348.82x = 295,814.64 × 118,855.52
  4. Step 4: Simplify right side
    214,348.82x = 35,159,201,381.74
  5. Step 5: Solve for x
    x = 35,159,201,381.74/214,348.82
  6. Step 6: Final answer
    x = 164,027.97

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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.