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Finding the Fourth Proportional to 133,237.44, 183,947.76 and 83,004.48

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Solution

The fourth proportional to 133,237.44, 183,947.76 and 83,004.48 is: 114,596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,237.44 : 183,947.76 = 83,004.48 : x
  2. Step 2: Convert to fraction form
    133,237.44/183,947.76 = 83,004.48/x
  3. Step 3: Cross multiply
    133,237.44x = 183,947.76 × 83,004.48
  4. Step 4: Simplify right side
    133,237.44x = 15,268,488,165.96
  5. Step 5: Solve for x
    x = 15,268,488,165.96/133,237.44
  6. Step 6: Final answer
    x = 114,596.08

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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.