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Finding the Fourth Proportional to 218,678.94, 301,775.22 and 123,216.39

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Solution

The fourth proportional to 218,678.94, 301,775.22 and 123,216.39 is: 170,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,678.94 : 301,775.22 = 123,216.39 : x
  2. Step 2: Convert to fraction form
    218,678.94/301,775.22 = 123,216.39/x
  3. Step 3: Cross multiply
    218,678.94x = 301,775.22 × 123,216.39
  4. Step 4: Simplify right side
    218,678.94x = 37,183,653,199.86
  5. Step 5: Solve for x
    x = 37,183,653,199.86/218,678.94
  6. Step 6: Final answer
    x = 170,037.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.