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Finding the Fourth Proportional to 128,205.36, 192,273.48 and 58,014

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Solution

The fourth proportional to 128,205.36, 192,273.48 and 58,014 is: 87,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,205.36 : 192,273.48 = 58,014 : x
  2. Step 2: Convert to fraction form
    128,205.36/192,273.48 = 58,014/x
  3. Step 3: Cross multiply
    128,205.36x = 192,273.48 × 58,014
  4. Step 4: Simplify right side
    128,205.36x = 11,154,553,668.72
  5. Step 5: Solve for x
    x = 11,154,553,668.72/128,205.36
  6. Step 6: Final answer
    x = 87,005.36

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