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Finding the Fourth Proportional to 119,751.84, 165,266.96 and 66,041.76

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Solution

The fourth proportional to 119,751.84, 165,266.96 and 66,041.76 is: 91,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,751.84 : 165,266.96 = 66,041.76 : x
  2. Step 2: Convert to fraction form
    119,751.84/165,266.96 = 66,041.76/x
  3. Step 3: Cross multiply
    119,751.84x = 165,266.96 × 66,041.76
  4. Step 4: Simplify right side
    119,751.84x = 10,914,520,908.25
  5. Step 5: Solve for x
    x = 10,914,520,908.25/119,751.84
  6. Step 6: Final answer
    x = 91,142.82

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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.