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Finding the Fourth Proportional to 148,497.80, 204,924.48 and 83,966

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Solution

The fourth proportional to 148,497.80, 204,924.48 and 83,966 is: 115,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,497.80 : 204,924.48 = 83,966 : x
  2. Step 2: Convert to fraction form
    148,497.80/204,924.48 = 83,966/x
  3. Step 3: Cross multiply
    148,497.80x = 204,924.48 × 83,966
  4. Step 4: Simplify right side
    148,497.80x = 17,206,688,887.68
  5. Step 5: Solve for x
    x = 17,206,688,887.68/148,497.80
  6. Step 6: Final answer
    x = 115,871.68

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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.