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Finding the Fourth Proportional to 299,175.36, 448,486.02 and 156,991.20

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Solution

The fourth proportional to 299,175.36, 448,486.02 and 156,991.20 is: 235,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,175.36 : 448,486.02 = 156,991.20 : x
  2. Step 2: Convert to fraction form
    299,175.36/448,486.02 = 156,991.20/x
  3. Step 3: Cross multiply
    299,175.36x = 448,486.02 × 156,991.20
  4. Step 4: Simplify right side
    299,175.36x = 70,408,358,463.02
  5. Step 5: Solve for x
    x = 70,408,358,463.02/299,175.36
  6. Step 6: Final answer
    x = 235,341.43

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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.