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Finding the Fourth Proportional to 299,131.57, 412,802.85 and 163,168.48

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Solution

The fourth proportional to 299,131.57, 412,802.85 and 163,168.48 is: 225,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,131.57 : 412,802.85 = 163,168.48 : x
  2. Step 2: Convert to fraction form
    299,131.57/412,802.85 = 163,168.48/x
  3. Step 3: Cross multiply
    299,131.57x = 412,802.85 × 163,168.48
  4. Step 4: Simplify right side
    299,131.57x = 67,356,413,574.17
  5. Step 5: Solve for x
    x = 67,356,413,574.17/299,131.57
  6. Step 6: Final answer
    x = 225,173.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.