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Finding the Fourth Proportional to 117,146.30, 175,836.09 and 64,580.54

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Solution

The fourth proportional to 117,146.30, 175,836.09 and 64,580.54 is: 96,935.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,146.30 : 175,836.09 = 64,580.54 : x
  2. Step 2: Convert to fraction form
    117,146.30/175,836.09 = 64,580.54/x
  3. Step 3: Cross multiply
    117,146.30x = 175,836.09 × 64,580.54
  4. Step 4: Simplify right side
    117,146.30x = 11,355,589,643.69
  5. Step 5: Solve for x
    x = 11,355,589,643.69/117,146.30
  6. Step 6: Final answer
    x = 96,935.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.