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Finding the Fourth Proportional to 164,092.40, 246,138.60 and 53,284.40

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Solution

The fourth proportional to 164,092.40, 246,138.60 and 53,284.40 is: 79,926.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,092.40 : 246,138.60 = 53,284.40 : x
  2. Step 2: Convert to fraction form
    164,092.40/246,138.60 = 53,284.40/x
  3. Step 3: Cross multiply
    164,092.40x = 246,138.60 × 53,284.40
  4. Step 4: Simplify right side
    164,092.40x = 13,115,347,617.84
  5. Step 5: Solve for x
    x = 13,115,347,617.84/164,092.40
  6. Step 6: Final answer
    x = 79,926.60

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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.