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Finding the Fourth Proportional to 119,898.98, 165,459.66 and 66,184.02

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Solution

The fourth proportional to 119,898.98, 165,459.66 and 66,184.02 is: 91,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,898.98 : 165,459.66 = 66,184.02 : x
  2. Step 2: Convert to fraction form
    119,898.98/165,459.66 = 66,184.02/x
  3. Step 3: Cross multiply
    119,898.98x = 165,459.66 × 66,184.02
  4. Step 4: Simplify right side
    119,898.98x = 10,950,785,446.63
  5. Step 5: Solve for x
    x = 10,950,785,446.63/119,898.98
  6. Step 6: Final answer
    x = 91,333.43

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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.