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Finding the Fourth Proportional to 150,602.90, 225,695.36 and 83,943.14

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Solution

The fourth proportional to 150,602.90, 225,695.36 and 83,943.14 is: 125,798.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,602.90 : 225,695.36 = 83,943.14 : x
  2. Step 2: Convert to fraction form
    150,602.90/225,695.36 = 83,943.14/x
  3. Step 3: Cross multiply
    150,602.90x = 225,695.36 × 83,943.14
  4. Step 4: Simplify right side
    150,602.90x = 18,945,576,283.21
  5. Step 5: Solve for x
    x = 18,945,576,283.21/150,602.90
  6. Step 6: Final answer
    x = 125,798.22

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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.