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Finding the Fourth Proportional to 156,057.66, 233,974.71 and 66,106.44

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Solution

The fourth proportional to 156,057.66, 233,974.71 and 66,106.44 is: 99,112.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,057.66 : 233,974.71 = 66,106.44 : x
  2. Step 2: Convert to fraction form
    156,057.66/233,974.71 = 66,106.44/x
  3. Step 3: Cross multiply
    156,057.66x = 233,974.71 × 66,106.44
  4. Step 4: Simplify right side
    156,057.66x = 15,467,235,128.13
  5. Step 5: Solve for x
    x = 15,467,235,128.13/156,057.66
  6. Step 6: Final answer
    x = 99,112.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.