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Finding the Fourth Proportional to 183,645.76, 275,437.45 and 83,782.48

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Solution

The fourth proportional to 183,645.76, 275,437.45 and 83,782.48 is: 125,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,645.76 : 275,437.45 = 83,782.48 : x
  2. Step 2: Convert to fraction form
    183,645.76/275,437.45 = 83,782.48/x
  3. Step 3: Cross multiply
    183,645.76x = 275,437.45 × 83,782.48
  4. Step 4: Simplify right side
    183,645.76x = 23,076,832,645.88
  5. Step 5: Solve for x
    x = 23,076,832,645.88/183,645.76
  6. Step 6: Final answer
    x = 125,659.49

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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.