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Finding the Fourth Proportional to 212,783.34, 293,640.94 and 117,291.63

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Solution

The fourth proportional to 212,783.34, 293,640.94 and 117,291.63 is: 161,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,783.34 : 293,640.94 = 117,291.63 : x
  2. Step 2: Convert to fraction form
    212,783.34/293,640.94 = 117,291.63/x
  3. Step 3: Cross multiply
    212,783.34x = 293,640.94 × 117,291.63
  4. Step 4: Simplify right side
    212,783.34x = 34,441,625,221.43
  5. Step 5: Solve for x
    x = 34,441,625,221.43/212,783.34
  6. Step 6: Final answer
    x = 161,862.41

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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.