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Finding the Fourth Proportional to 132,583.19, 183,027.36 and 84,864.20

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Solution

The fourth proportional to 132,583.19, 183,027.36 and 84,864.20 is: 117,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,583.19 : 183,027.36 = 84,864.20 : x
  2. Step 2: Convert to fraction form
    132,583.19/183,027.36 = 84,864.20/x
  3. Step 3: Cross multiply
    132,583.19x = 183,027.36 × 84,864.20
  4. Step 4: Simplify right side
    132,583.19x = 15,532,469,569.38
  5. Step 5: Solve for x
    x = 15,532,469,569.38/132,583.19
  6. Step 6: Final answer
    x = 117,152.64

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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.