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Finding the Fourth Proportional to 182,058, 273,086.64 and 48,938.28

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Solution

The fourth proportional to 182,058, 273,086.64 and 48,938.28 is: 73,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,058 : 273,086.64 = 48,938.28 : x
  2. Step 2: Convert to fraction form
    182,058/273,086.64 = 48,938.28/x
  3. Step 3: Cross multiply
    182,058x = 273,086.64 × 48,938.28
  4. Step 4: Simplify right side
    182,058x = 13,364,390,452.58
  5. Step 5: Solve for x
    x = 13,364,390,452.58/182,058
  6. Step 6: Final answer
    x = 73,407.32

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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.