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Finding the Fourth Proportional to 264,237, 396,355.50 and 77,248.50

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Solution

The fourth proportional to 264,237, 396,355.50 and 77,248.50 is: 115,872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,237 : 396,355.50 = 77,248.50 : x
  2. Step 2: Convert to fraction form
    264,237/396,355.50 = 77,248.50/x
  3. Step 3: Cross multiply
    264,237x = 396,355.50 × 77,248.50
  4. Step 4: Simplify right side
    264,237x = 30,617,867,841.75
  5. Step 5: Solve for x
    x = 30,617,867,841.75/264,237
  6. Step 6: Final answer
    x = 115,872.75

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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.