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Finding the Fourth Proportional to 218,162.94, 301,161.96 and 169,655.28

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Solution

The fourth proportional to 218,162.94, 301,161.96 and 169,655.28 is: 234,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,162.94 : 301,161.96 = 169,655.28 : x
  2. Step 2: Convert to fraction form
    218,162.94/301,161.96 = 169,655.28/x
  3. Step 3: Cross multiply
    218,162.94x = 301,161.96 × 169,655.28
  4. Step 4: Simplify right side
    218,162.94x = 51,093,716,649.15
  5. Step 5: Solve for x
    x = 51,093,716,649.15/218,162.94
  6. Step 6: Final answer
    x = 234,199.80

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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.