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Finding the Fourth Proportional to 154,339, 231,507.94 and 49,166.44

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Solution

The fourth proportional to 154,339, 231,507.94 and 49,166.44 is: 73,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,339 : 231,507.94 = 49,166.44 : x
  2. Step 2: Convert to fraction form
    154,339/231,507.94 = 49,166.44/x
  3. Step 3: Cross multiply
    154,339x = 231,507.94 × 49,166.44
  4. Step 4: Simplify right side
    154,339x = 11,382,421,241.53
  5. Step 5: Solve for x
    x = 11,382,421,241.53/154,339
  6. Step 6: Final answer
    x = 73,749.48

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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.