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Finding the Fourth Proportional to 209,682.64, 314,534.31 and 59,944.83

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Solution

The fourth proportional to 209,682.64, 314,534.31 and 59,944.83 is: 89,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,682.64 : 314,534.31 = 59,944.83 : x
  2. Step 2: Convert to fraction form
    209,682.64/314,534.31 = 59,944.83/x
  3. Step 3: Cross multiply
    209,682.64x = 314,534.31 × 59,944.83
  4. Step 4: Simplify right side
    209,682.64x = 18,854,704,337.82
  5. Step 5: Solve for x
    x = 18,854,704,337.82/209,682.64
  6. Step 6: Final answer
    x = 89,920.20

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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.