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Finding the Fourth Proportional to 271,741.70, 375,004.28 and 150,883.22

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Solution

The fourth proportional to 271,741.70, 375,004.28 and 150,883.22 is: 208,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,741.70 : 375,004.28 = 150,883.22 : x
  2. Step 2: Convert to fraction form
    271,741.70/375,004.28 = 150,883.22/x
  3. Step 3: Cross multiply
    271,741.70x = 375,004.28 × 150,883.22
  4. Step 4: Simplify right side
    271,741.70x = 56,581,853,280.18
  5. Step 5: Solve for x
    x = 56,581,853,280.18/271,741.70
  6. Step 6: Final answer
    x = 208,219.25

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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.