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Finding the Fourth Proportional to 156,705.33, 216,250.10 and 85,085.42

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Solution

The fourth proportional to 156,705.33, 216,250.10 and 85,085.42 is: 117,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,705.33 : 216,250.10 = 85,085.42 : x
  2. Step 2: Convert to fraction form
    156,705.33/216,250.10 = 85,085.42/x
  3. Step 3: Cross multiply
    156,705.33x = 216,250.10 × 85,085.42
  4. Step 4: Simplify right side
    156,705.33x = 18,399,729,076.86
  5. Step 5: Solve for x
    x = 18,399,729,076.86/156,705.33
  6. Step 6: Final answer
    x = 117,416.10

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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.