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Finding the Fourth Proportional to 268,833, 403,249.50 and 93,729

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Solution

The fourth proportional to 268,833, 403,249.50 and 93,729 is: 140,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,833 : 403,249.50 = 93,729 : x
  2. Step 2: Convert to fraction form
    268,833/403,249.50 = 93,729/x
  3. Step 3: Cross multiply
    268,833x = 403,249.50 × 93,729
  4. Step 4: Simplify right side
    268,833x = 37,796,172,385.50
  5. Step 5: Solve for x
    x = 37,796,172,385.50/268,833
  6. Step 6: Final answer
    x = 140,593.50

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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.