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Finding the Fourth Proportional to 102,186.47, 153,058.17 and 49,485.44

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Solution

The fourth proportional to 102,186.47, 153,058.17 and 49,485.44 is: 74,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,186.47 : 153,058.17 = 49,485.44 : x
  2. Step 2: Convert to fraction form
    102,186.47/153,058.17 = 49,485.44/x
  3. Step 3: Cross multiply
    102,186.47x = 153,058.17 × 49,485.44
  4. Step 4: Simplify right side
    102,186.47x = 7,574,150,257.97
  5. Step 5: Solve for x
    x = 7,574,150,257.97/102,186.47
  6. Step 6: Final answer
    x = 74,120.87

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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.