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Finding the Fourth Proportional to 153,864, 230,796 and 37,128

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Solution

The fourth proportional to 153,864, 230,796 and 37,128 is: 55,692

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,864 : 230,796 = 37,128 : x
  2. Step 2: Convert to fraction form
    153,864/230,796 = 37,128/x
  3. Step 3: Cross multiply
    153,864x = 230,796 × 37,128
  4. Step 4: Simplify right side
    153,864x = 8,568,993,888
  5. Step 5: Solve for x
    x = 8,568,993,888/153,864
  6. Step 6: Final answer
    x = 55,692

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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.