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Finding the Fourth Proportional to 150,042.78, 225,126.27 and 65,759.40

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Solution

The fourth proportional to 150,042.78, 225,126.27 and 65,759.40 is: 98,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,042.78 : 225,126.27 = 65,759.40 : x
  2. Step 2: Convert to fraction form
    150,042.78/225,126.27 = 65,759.40/x
  3. Step 3: Cross multiply
    150,042.78x = 225,126.27 × 65,759.40
  4. Step 4: Simplify right side
    150,042.78x = 14,804,168,439.44
  5. Step 5: Solve for x
    x = 14,804,168,439.44/150,042.78
  6. Step 6: Final answer
    x = 98,666.32

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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.