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Finding the Fourth Proportional to 132,872, 183,363.36 and 73,256

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Solution

The fourth proportional to 132,872, 183,363.36 and 73,256 is: 101,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,872 : 183,363.36 = 73,256 : x
  2. Step 2: Convert to fraction form
    132,872/183,363.36 = 73,256/x
  3. Step 3: Cross multiply
    132,872x = 183,363.36 × 73,256
  4. Step 4: Simplify right side
    132,872x = 13,432,466,300.16
  5. Step 5: Solve for x
    x = 13,432,466,300.16/132,872
  6. Step 6: Final answer
    x = 101,093.28

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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.