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Finding the Fourth Proportional to 212,104.13, 292,705.67 and 116,611.50

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Solution

The fourth proportional to 212,104.13, 292,705.67 and 116,611.50 is: 160,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,104.13 : 292,705.67 = 116,611.50 : x
  2. Step 2: Convert to fraction form
    212,104.13/292,705.67 = 116,611.50/x
  3. Step 3: Cross multiply
    212,104.13x = 292,705.67 × 116,611.50
  4. Step 4: Simplify right side
    212,104.13x = 34,132,847,237.21
  5. Step 5: Solve for x
    x = 34,132,847,237.21/212,104.13
  6. Step 6: Final answer
    x = 160,924.95

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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.