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Finding the Fourth Proportional to 146,089.64, 201,600.42 and 82,425.80

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Solution

The fourth proportional to 146,089.64, 201,600.42 and 82,425.80 is: 113,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,089.64 : 201,600.42 = 82,425.80 : x
  2. Step 2: Convert to fraction form
    146,089.64/201,600.42 = 82,425.80/x
  3. Step 3: Cross multiply
    146,089.64x = 201,600.42 × 82,425.80
  4. Step 4: Simplify right side
    146,089.64x = 16,617,075,898.84
  5. Step 5: Solve for x
    x = 16,617,075,898.84/146,089.64
  6. Step 6: Final answer
    x = 113,745.75

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1.5x scale

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.