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Finding the Fourth Proportional to 148,102.14, 204,375.87 and 84,460.42

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Solution

The fourth proportional to 148,102.14, 204,375.87 and 84,460.42 is: 116,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,102.14 : 204,375.87 = 84,460.42 : x
  2. Step 2: Convert to fraction form
    148,102.14/204,375.87 = 84,460.42/x
  3. Step 3: Cross multiply
    148,102.14x = 204,375.87 × 84,460.42
  4. Step 4: Simplify right side
    148,102.14x = 17,261,671,818.07
  5. Step 5: Solve for x
    x = 17,261,671,818.07/148,102.14
  6. Step 6: Final answer
    x = 116,552.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.