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Finding the Fourth Proportional to 148,496, 204,924.52 and 81,429.44

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Solution

The fourth proportional to 148,496, 204,924.52 and 81,429.44 is: 112,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,496 : 204,924.52 = 81,429.44 : x
  2. Step 2: Convert to fraction form
    148,496/204,924.52 = 81,429.44/x
  3. Step 3: Cross multiply
    148,496x = 204,924.52 × 81,429.44
  4. Step 4: Simplify right side
    148,496x = 16,686,888,905.87
  5. Step 5: Solve for x
    x = 16,686,888,905.87/148,496
  6. Step 6: Final answer
    x = 112,372.65

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Why These Related Problems?

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