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Finding the Fourth Proportional to 119,936, 165,357.84 and 98,346.24

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Solution

The fourth proportional to 119,936, 165,357.84 and 98,346.24 is: 135,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,936 : 165,357.84 = 98,346.24 : x
  2. Step 2: Convert to fraction form
    119,936/165,357.84 = 98,346.24/x
  3. Step 3: Cross multiply
    119,936x = 165,357.84 × 98,346.24
  4. Step 4: Simplify right side
    119,936x = 16,262,321,818.52
  5. Step 5: Solve for x
    x = 16,262,321,818.52/119,936
  6. Step 6: Final answer
    x = 135,591.66

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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.