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Finding the Fourth Proportional to 201,611.45, 302,417.18 and 164,286.65

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Solution

The fourth proportional to 201,611.45, 302,417.18 and 164,286.65 is: 246,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,611.45 : 302,417.18 = 164,286.65 : x
  2. Step 2: Convert to fraction form
    201,611.45/302,417.18 = 164,286.65/x
  3. Step 3: Cross multiply
    201,611.45x = 302,417.18 × 164,286.65
  4. Step 4: Simplify right side
    201,611.45x = 49,683,105,404.65
  5. Step 5: Solve for x
    x = 49,683,105,404.65/201,611.45
  6. Step 6: Final answer
    x = 246,429.98

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1.5x scale

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.