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Finding the Fourth Proportional to 214,777.85, 296,397.09 and 117,985.78

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Solution

The fourth proportional to 214,777.85, 296,397.09 and 117,985.78 is: 162,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,777.85 : 296,397.09 = 117,985.78 : x
  2. Step 2: Convert to fraction form
    214,777.85/296,397.09 = 117,985.78/x
  3. Step 3: Cross multiply
    214,777.85x = 296,397.09 × 117,985.78
  4. Step 4: Simplify right side
    214,777.85x = 34,970,642,223.88
  5. Step 5: Solve for x
    x = 34,970,642,223.88/214,777.85
  6. Step 6: Final answer
    x = 162,822.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.