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Finding the Fourth Proportional to 208,155.24, 312,282.54 and 67,914

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Solution

The fourth proportional to 208,155.24, 312,282.54 and 67,914 is: 101,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,155.24 : 312,282.54 = 67,914 : x
  2. Step 2: Convert to fraction form
    208,155.24/312,282.54 = 67,914/x
  3. Step 3: Cross multiply
    208,155.24x = 312,282.54 × 67,914
  4. Step 4: Simplify right side
    208,155.24x = 21,208,356,421.56
  5. Step 5: Solve for x
    x = 21,208,356,421.56/208,155.24
  6. Step 6: Final answer
    x = 101,887.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.