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Finding the Fourth Proportional to 271,055.66, 374,119.23 and 180,415.22

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Solution

The fourth proportional to 271,055.66, 374,119.23 and 180,415.22 is: 249,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,055.66 : 374,119.23 = 180,415.22 : x
  2. Step 2: Convert to fraction form
    271,055.66/374,119.23 = 180,415.22/x
  3. Step 3: Cross multiply
    271,055.66x = 374,119.23 × 180,415.22
  4. Step 4: Simplify right side
    271,055.66x = 67,496,803,186.68
  5. Step 5: Solve for x
    x = 67,496,803,186.68/271,055.66
  6. Step 6: Final answer
    x = 249,014.55

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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.