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Finding the Fourth Proportional to 234,967.10, 352,450.65 and 77,200.70

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Solution

The fourth proportional to 234,967.10, 352,450.65 and 77,200.70 is: 115,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,967.10 : 352,450.65 = 77,200.70 : x
  2. Step 2: Convert to fraction form
    234,967.10/352,450.65 = 77,200.70/x
  3. Step 3: Cross multiply
    234,967.10x = 352,450.65 × 77,200.70
  4. Step 4: Simplify right side
    234,967.10x = 27,209,436,895.46
  5. Step 5: Solve for x
    x = 27,209,436,895.46/234,967.10
  6. Step 6: Final answer
    x = 115,801.05

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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.