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Finding the Fourth Proportional to 114,071.21, 157,424.17 and 65,680.32

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Solution

The fourth proportional to 114,071.21, 157,424.17 and 65,680.32 is: 90,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,071.21 : 157,424.17 = 65,680.32 : x
  2. Step 2: Convert to fraction form
    114,071.21/157,424.17 = 65,680.32/x
  3. Step 3: Cross multiply
    114,071.21x = 157,424.17 × 65,680.32
  4. Step 4: Simplify right side
    114,071.21x = 10,339,669,861.33
  5. Step 5: Solve for x
    x = 10,339,669,861.33/114,071.21
  6. Step 6: Final answer
    x = 90,642.24

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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.