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Finding the Fourth Proportional to 119,463.66, 164,833.38 and 69,133.50

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Solution

The fourth proportional to 119,463.66, 164,833.38 and 69,133.50 is: 95,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,463.66 : 164,833.38 = 69,133.50 : x
  2. Step 2: Convert to fraction form
    119,463.66/164,833.38 = 69,133.50/x
  3. Step 3: Cross multiply
    119,463.66x = 164,833.38 × 69,133.50
  4. Step 4: Simplify right side
    119,463.66x = 11,395,508,476.23
  5. Step 5: Solve for x
    x = 11,395,508,476.23/119,463.66
  6. Step 6: Final answer
    x = 95,388.91

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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.