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Finding the Fourth Proportional to 189,847.96, 262,030.14 and 157,985.56

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Solution

The fourth proportional to 189,847.96, 262,030.14 and 157,985.56 is: 218,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,847.96 : 262,030.14 = 157,985.56 : x
  2. Step 2: Convert to fraction form
    189,847.96/262,030.14 = 157,985.56/x
  3. Step 3: Cross multiply
    189,847.96x = 262,030.14 × 157,985.56
  4. Step 4: Simplify right side
    189,847.96x = 41,396,978,404.78
  5. Step 5: Solve for x
    x = 41,396,978,404.78/189,847.96
  6. Step 6: Final answer
    x = 218,053.32

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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.