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Finding the Fourth Proportional to 183,760.52, 275,655.90 and 78,580.40

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Solution

The fourth proportional to 183,760.52, 275,655.90 and 78,580.40 is: 117,877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,760.52 : 275,655.90 = 78,580.40 : x
  2. Step 2: Convert to fraction form
    183,760.52/275,655.90 = 78,580.40/x
  3. Step 3: Cross multiply
    183,760.52x = 275,655.90 × 78,580.40
  4. Step 4: Simplify right side
    183,760.52x = 21,661,150,884.36
  5. Step 5: Solve for x
    x = 21,661,150,884.36/183,760.52
  6. Step 6: Final answer
    x = 117,877.07

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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.