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Finding the Fourth Proportional to 144,184.61, 197,529.62 and 138,793.80

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Solution

The fourth proportional to 144,184.61, 197,529.62 and 138,793.80 is: 190,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,184.61 : 197,529.62 = 138,793.80 : x
  2. Step 2: Convert to fraction form
    144,184.61/197,529.62 = 138,793.80/x
  3. Step 3: Cross multiply
    144,184.61x = 197,529.62 × 138,793.80
  4. Step 4: Simplify right side
    144,184.61x = 27,415,886,789.22
  5. Step 5: Solve for x
    x = 27,415,886,789.22/144,184.61
  6. Step 6: Final answer
    x = 190,144.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.