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Finding the Fourth Proportional to 119,458.56, 164,846.58 and 65,733.18

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Solution

The fourth proportional to 119,458.56, 164,846.58 and 65,733.18 is: 90,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,458.56 : 164,846.58 = 65,733.18 : x
  2. Step 2: Convert to fraction form
    119,458.56/164,846.58 = 65,733.18/x
  3. Step 3: Cross multiply
    119,458.56x = 164,846.58 × 65,733.18
  4. Step 4: Simplify right side
    119,458.56x = 10,835,889,915.52
  5. Step 5: Solve for x
    x = 10,835,889,915.52/119,458.56
  6. Step 6: Final answer
    x = 90,708.36

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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.