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Finding the Fourth Proportional to 151,364.50, 208,889.49 and 84,296.50

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Solution

The fourth proportional to 151,364.50, 208,889.49 and 84,296.50 is: 116,332.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,364.50 : 208,889.49 = 84,296.50 : x
  2. Step 2: Convert to fraction form
    151,364.50/208,889.49 = 84,296.50/x
  3. Step 3: Cross multiply
    151,364.50x = 208,889.49 × 84,296.50
  4. Step 4: Simplify right side
    151,364.50x = 17,608,652,893.79
  5. Step 5: Solve for x
    x = 17,608,652,893.79/151,364.50
  6. Step 6: Final answer
    x = 116,332.78

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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.