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Finding the Fourth Proportional to 192,126.94, 288,184.26 and 86,945.91

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Solution

The fourth proportional to 192,126.94, 288,184.26 and 86,945.91 is: 130,416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,126.94 : 288,184.26 = 86,945.91 : x
  2. Step 2: Convert to fraction form
    192,126.94/288,184.26 = 86,945.91/x
  3. Step 3: Cross multiply
    192,126.94x = 288,184.26 × 86,945.91
  4. Step 4: Simplify right side
    192,126.94x = 25,056,442,733.38
  5. Step 5: Solve for x
    x = 25,056,442,733.38/192,126.94
  6. Step 6: Final answer
    x = 130,416.08

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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.