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Finding the Fourth Proportional to 164,065.75, 246,098.67 and 53,257.75

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Solution

The fourth proportional to 164,065.75, 246,098.67 and 53,257.75 is: 79,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,065.75 : 246,098.67 = 53,257.75 : x
  2. Step 2: Convert to fraction form
    164,065.75/246,098.67 = 53,257.75/x
  3. Step 3: Cross multiply
    164,065.75x = 246,098.67 × 53,257.75
  4. Step 4: Simplify right side
    164,065.75x = 13,106,661,442.19
  5. Step 5: Solve for x
    x = 13,106,661,442.19/164,065.75
  6. Step 6: Final answer
    x = 79,886.64

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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.