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Finding the Fourth Proportional to 299,131.32, 412,802.51 and 163,168.23

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Solution

The fourth proportional to 299,131.32, 412,802.51 and 163,168.23 is: 225,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,131.32 : 412,802.51 = 163,168.23 : x
  2. Step 2: Convert to fraction form
    299,131.32/412,802.51 = 163,168.23/x
  3. Step 3: Cross multiply
    299,131.32x = 412,802.51 × 163,168.23
  4. Step 4: Simplify right side
    299,131.32x = 67,356,254,080.42
  5. Step 5: Solve for x
    x = 67,356,254,080.42/299,131.32
  6. Step 6: Final answer
    x = 225,172.86

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