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Finding the Fourth Proportional to 119,905.16, 165,443.46 and 69,577.16

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Solution

The fourth proportional to 119,905.16, 165,443.46 and 69,577.16 is: 96,001.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,905.16 : 165,443.46 = 69,577.16 : x
  2. Step 2: Convert to fraction form
    119,905.16/165,443.46 = 69,577.16/x
  3. Step 3: Cross multiply
    119,905.16x = 165,443.46 × 69,577.16
  4. Step 4: Simplify right side
    119,905.16x = 11,511,086,087.37
  5. Step 5: Solve for x
    x = 11,511,086,087.37/119,905.16
  6. Step 6: Final answer
    x = 96,001.59

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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.