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Finding the Fourth Proportional to 183,552.48, 275,357.52 and 78,372

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Solution

The fourth proportional to 183,552.48, 275,357.52 and 78,372 is: 117,570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,552.48 : 275,357.52 = 78,372 : x
  2. Step 2: Convert to fraction form
    183,552.48/275,357.52 = 78,372/x
  3. Step 3: Cross multiply
    183,552.48x = 275,357.52 × 78,372
  4. Step 4: Simplify right side
    183,552.48x = 21,580,319,557.44
  5. Step 5: Solve for x
    x = 21,580,319,557.44/183,552.48
  6. Step 6: Final answer
    x = 117,570.30

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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.