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Finding the Fourth Proportional to 157,774.26, 217,728.18 and 101,185.50

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Solution

The fourth proportional to 157,774.26, 217,728.18 and 101,185.50 is: 139,635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,774.26 : 217,728.18 = 101,185.50 : x
  2. Step 2: Convert to fraction form
    157,774.26/217,728.18 = 101,185.50/x
  3. Step 3: Cross multiply
    157,774.26x = 217,728.18 × 101,185.50
  4. Step 4: Simplify right side
    157,774.26x = 22,030,934,757.39
  5. Step 5: Solve for x
    x = 22,030,934,757.39/157,774.26
  6. Step 6: Final answer
    x = 139,635.80

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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.