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Finding the Fourth Proportional to 75,458.86, 113,208.74 and 67,196.24

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Solution

The fourth proportional to 75,458.86, 113,208.74 and 67,196.24 is: 100,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,458.86 : 113,208.74 = 67,196.24 : x
  2. Step 2: Convert to fraction form
    75,458.86/113,208.74 = 67,196.24/x
  3. Step 3: Cross multiply
    75,458.86x = 113,208.74 × 67,196.24
  4. Step 4: Simplify right side
    75,458.86x = 7,607,201,663.14
  5. Step 5: Solve for x
    x = 7,607,201,663.14/75,458.86
  6. Step 6: Final answer
    x = 100,812.57

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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.