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Finding the Fourth Proportional to 214,329.36, 295,775.90 and 123,689.14

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Solution

The fourth proportional to 214,329.36, 295,775.90 and 123,689.14 is: 170,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,329.36 : 295,775.90 = 123,689.14 : x
  2. Step 2: Convert to fraction form
    214,329.36/295,775.90 = 123,689.14/x
  3. Step 3: Cross multiply
    214,329.36x = 295,775.90 × 123,689.14
  4. Step 4: Simplify right side
    214,329.36x = 36,584,266,703.73
  5. Step 5: Solve for x
    x = 36,584,266,703.73/214,329.36
  6. Step 6: Final answer
    x = 170,691.81

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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.