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Finding the Fourth Proportional to 156,999.90, 216,657.83 and 85,378.38

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Solution

The fourth proportional to 156,999.90, 216,657.83 and 85,378.38 is: 117,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,999.90 : 216,657.83 = 85,378.38 : x
  2. Step 2: Convert to fraction form
    156,999.90/216,657.83 = 85,378.38/x
  3. Step 3: Cross multiply
    156,999.90x = 216,657.83 × 85,378.38
  4. Step 4: Simplify right side
    156,999.90x = 18,497,894,112.82
  5. Step 5: Solve for x
    x = 18,497,894,112.82/156,999.90
  6. Step 6: Final answer
    x = 117,821.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.