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Finding the Fourth Proportional to 182,632, 273,948.10 and 57,973

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Solution

The fourth proportional to 182,632, 273,948.10 and 57,973 is: 86,959.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,632 : 273,948.10 = 57,973 : x
  2. Step 2: Convert to fraction form
    182,632/273,948.10 = 57,973/x
  3. Step 3: Cross multiply
    182,632x = 273,948.10 × 57,973
  4. Step 4: Simplify right side
    182,632x = 15,881,593,201.30
  5. Step 5: Solve for x
    x = 15,881,593,201.30/182,632
  6. Step 6: Final answer
    x = 86,959.53

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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.