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Finding the Fourth Proportional to 158,194, 237,349.32 and 83,311.12

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Solution

The fourth proportional to 158,194, 237,349.32 and 83,311.12 is: 124,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,194 : 237,349.32 = 83,311.12 : x
  2. Step 2: Convert to fraction form
    158,194/237,349.32 = 83,311.12/x
  3. Step 3: Cross multiply
    158,194x = 237,349.32 × 83,311.12
  4. Step 4: Simplify right side
    158,194x = 19,773,837,680.44
  5. Step 5: Solve for x
    x = 19,773,837,680.44/158,194
  6. Step 6: Final answer
    x = 124,997.39

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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.