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Finding the Fourth Proportional to 146,032.81, 201,508.02 and 84,764.81

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Solution

The fourth proportional to 146,032.81, 201,508.02 and 84,764.81 is: 116,965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,032.81 : 201,508.02 = 84,764.81 : x
  2. Step 2: Convert to fraction form
    146,032.81/201,508.02 = 84,764.81/x
  3. Step 3: Cross multiply
    146,032.81x = 201,508.02 × 84,764.81
  4. Step 4: Simplify right side
    146,032.81x = 17,080,789,532.55
  5. Step 5: Solve for x
    x = 17,080,789,532.55/146,032.81
  6. Step 6: Final answer
    x = 116,965.43

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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.