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Finding the Fourth Proportional to 100,185.84, 150,354.90 and 37,065.65

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Solution

The fourth proportional to 100,185.84, 150,354.90 and 37,065.65 is: 55,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,185.84 : 150,354.90 = 37,065.65 : x
  2. Step 2: Convert to fraction form
    100,185.84/150,354.90 = 37,065.65/x
  3. Step 3: Cross multiply
    100,185.84x = 150,354.90 × 37,065.65
  4. Step 4: Simplify right side
    100,185.84x = 5,573,001,347.41
  5. Step 5: Solve for x
    x = 5,573,001,347.41/100,185.84
  6. Step 6: Final answer
    x = 55,626.64

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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.