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Finding the Fourth Proportional to 148,324.76, 204,708 and 83,807.34

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Solution

The fourth proportional to 148,324.76, 204,708 and 83,807.34 is: 115,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,324.76 : 204,708 = 83,807.34 : x
  2. Step 2: Convert to fraction form
    148,324.76/204,708 = 83,807.34/x
  3. Step 3: Cross multiply
    148,324.76x = 204,708 × 83,807.34
  4. Step 4: Simplify right side
    148,324.76x = 17,156,032,956.72
  5. Step 5: Solve for x
    x = 17,156,032,956.72/148,324.76
  6. Step 6: Final answer
    x = 115,665.34

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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.