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Finding the Fourth Proportional to 119,744.32, 165,303.84 and 69,424.96

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Solution

The fourth proportional to 119,744.32, 165,303.84 and 69,424.96 is: 95,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,744.32 : 165,303.84 = 69,424.96 : x
  2. Step 2: Convert to fraction form
    119,744.32/165,303.84 = 69,424.96/x
  3. Step 3: Cross multiply
    119,744.32x = 165,303.84 × 69,424.96
  4. Step 4: Simplify right side
    119,744.32x = 11,476,212,479.85
  5. Step 5: Solve for x
    x = 11,476,212,479.85/119,744.32
  6. Step 6: Final answer
    x = 95,839.31

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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.