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Finding the Fourth Proportional to 134,498, 201,728.84 and 55,601.28

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Solution

The fourth proportional to 134,498, 201,728.84 and 55,601.28 is: 83,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,498 : 201,728.84 = 55,601.28 : x
  2. Step 2: Convert to fraction form
    134,498/201,728.84 = 55,601.28/x
  3. Step 3: Cross multiply
    134,498x = 201,728.84 × 55,601.28
  4. Step 4: Simplify right side
    134,498x = 11,216,381,716.92
  5. Step 5: Solve for x
    x = 11,216,381,716.92/134,498
  6. Step 6: Final answer
    x = 83,394.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.