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Finding the Fourth Proportional to 271,938.40, 375,300.36 and 164,534.88

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Solution

The fourth proportional to 271,938.40, 375,300.36 and 164,534.88 is: 227,073.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,938.40 : 375,300.36 = 164,534.88 : x
  2. Step 2: Convert to fraction form
    271,938.40/375,300.36 = 164,534.88/x
  3. Step 3: Cross multiply
    271,938.40x = 375,300.36 × 164,534.88
  4. Step 4: Simplify right side
    271,938.40x = 61,749,999,696.56
  5. Step 5: Solve for x
    x = 61,749,999,696.56/271,938.40
  6. Step 6: Final answer
    x = 227,073.48

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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.