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Finding the Fourth Proportional to 100,234.16, 150,261.72 and 37,948.40

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Solution

The fourth proportional to 100,234.16, 150,261.72 and 37,948.40 is: 56,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,234.16 : 150,261.72 = 37,948.40 : x
  2. Step 2: Convert to fraction form
    100,234.16/150,261.72 = 37,948.40/x
  3. Step 3: Cross multiply
    100,234.16x = 150,261.72 × 37,948.40
  4. Step 4: Simplify right side
    100,234.16x = 5,702,191,855.25
  5. Step 5: Solve for x
    x = 5,702,191,855.25/100,234.16
  6. Step 6: Final answer
    x = 56,888.71

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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.