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Finding the Fourth Proportional to 212,701.55, 293,534.42 and 117,214.43

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Solution

The fourth proportional to 212,701.55, 293,534.42 and 117,214.43 is: 161,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,701.55 : 293,534.42 = 117,214.43 : x
  2. Step 2: Convert to fraction form
    212,701.55/293,534.42 = 117,214.43/x
  3. Step 3: Cross multiply
    212,701.55x = 293,534.42 × 117,214.43
  4. Step 4: Simplify right side
    212,701.55x = 34,406,467,671.94
  5. Step 5: Solve for x
    x = 34,406,467,671.94/212,701.55
  6. Step 6: Final answer
    x = 161,759.37

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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.