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Finding the Fourth Proportional to 212,592.74, 293,378.77 and 117,099.21

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Solution

The fourth proportional to 212,592.74, 293,378.77 and 117,099.21 is: 161,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,592.74 : 293,378.77 = 117,099.21 : x
  2. Step 2: Convert to fraction form
    212,592.74/293,378.77 = 117,099.21/x
  3. Step 3: Cross multiply
    212,592.74x = 293,378.77 × 117,099.21
  4. Step 4: Simplify right side
    212,592.74x = 34,354,422,197.77
  5. Step 5: Solve for x
    x = 34,354,422,197.77/212,592.74
  6. Step 6: Final answer
    x = 161,597.34

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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.