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Finding the Fourth Proportional to 146,364.87, 201,980.88 and 82,701.30

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Solution

The fourth proportional to 146,364.87, 201,980.88 and 82,701.30 is: 114,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,364.87 : 201,980.88 = 82,701.30 : x
  2. Step 2: Convert to fraction form
    146,364.87/201,980.88 = 82,701.30/x
  3. Step 3: Cross multiply
    146,364.87x = 201,980.88 × 82,701.30
  4. Step 4: Simplify right side
    146,364.87x = 16,704,081,351.14
  5. Step 5: Solve for x
    x = 16,704,081,351.14/146,364.87
  6. Step 6: Final answer
    x = 114,126.30

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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.