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Finding the Fourth Proportional to 225,814.64, 338,688.98 and 65,847.59

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Solution

The fourth proportional to 225,814.64, 338,688.98 and 65,847.59 is: 98,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,814.64 : 338,688.98 = 65,847.59 : x
  2. Step 2: Convert to fraction form
    225,814.64/338,688.98 = 65,847.59/x
  3. Step 3: Cross multiply
    225,814.64x = 338,688.98 × 65,847.59
  4. Step 4: Simplify right side
    225,814.64x = 22,301,851,069.88
  5. Step 5: Solve for x
    x = 22,301,851,069.88/225,814.64
  6. Step 6: Final answer
    x = 98,761.76

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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.