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Finding the Fourth Proportional to 299,175.96, 412,834.14 and 165,031.32

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Solution

The fourth proportional to 299,175.96, 412,834.14 and 165,031.32 is: 227,727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,175.96 : 412,834.14 = 165,031.32 : x
  2. Step 2: Convert to fraction form
    299,175.96/412,834.14 = 165,031.32/x
  3. Step 3: Cross multiply
    299,175.96x = 412,834.14 × 165,031.32
  4. Step 4: Simplify right side
    299,175.96x = 68,130,563,065.26
  5. Step 5: Solve for x
    x = 68,130,563,065.26/299,175.96
  6. Step 6: Final answer
    x = 227,727.40

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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.