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Finding the Fourth Proportional to 118,147.84, 177,021.16 and 71,302.28

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Solution

The fourth proportional to 118,147.84, 177,021.16 and 71,302.28 is: 106,832.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,147.84 : 177,021.16 = 71,302.28 : x
  2. Step 2: Convert to fraction form
    118,147.84/177,021.16 = 71,302.28/x
  3. Step 3: Cross multiply
    118,147.84x = 177,021.16 × 71,302.28
  4. Step 4: Simplify right side
    118,147.84x = 12,622,012,316.24
  5. Step 5: Solve for x
    x = 12,622,012,316.24/118,147.84
  6. Step 6: Final answer
    x = 106,832.36

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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.