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Finding the Fourth Proportional to 151,818.86, 209,511.70 and 83,835.70

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Solution

The fourth proportional to 151,818.86, 209,511.70 and 83,835.70 is: 115,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,818.86 : 209,511.70 = 83,835.70 : x
  2. Step 2: Convert to fraction form
    151,818.86/209,511.70 = 83,835.70/x
  3. Step 3: Cross multiply
    151,818.86x = 209,511.70 × 83,835.70
  4. Step 4: Simplify right side
    151,818.86x = 17,564,560,027.69
  5. Step 5: Solve for x
    x = 17,564,560,027.69/151,818.86
  6. Step 6: Final answer
    x = 115,694.19

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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.