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Finding the Fourth Proportional to 192,077.20, 287,748.60 and 103,301.20

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Solution

The fourth proportional to 192,077.20, 287,748.60 and 103,301.20 is: 154,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,077.20 : 287,748.60 = 103,301.20 : x
  2. Step 2: Convert to fraction form
    192,077.20/287,748.60 = 103,301.20/x
  3. Step 3: Cross multiply
    192,077.20x = 287,748.60 × 103,301.20
  4. Step 4: Simplify right side
    192,077.20x = 29,724,775,678.32
  5. Step 5: Solve for x
    x = 29,724,775,678.32/192,077.20
  6. Step 6: Final answer
    x = 154,754.32

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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.