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Finding the Fourth Proportional to 114,884.56, 158,539.17 and 64,583.56

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Solution

The fourth proportional to 114,884.56, 158,539.17 and 64,583.56 is: 89,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,884.56 : 158,539.17 = 64,583.56 : x
  2. Step 2: Convert to fraction form
    114,884.56/158,539.17 = 64,583.56/x
  3. Step 3: Cross multiply
    114,884.56x = 158,539.17 × 64,583.56
  4. Step 4: Simplify right side
    114,884.56x = 10,239,023,998.05
  5. Step 5: Solve for x
    x = 10,239,023,998.05/114,884.56
  6. Step 6: Final answer
    x = 89,124.46

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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.