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Finding the Fourth Proportional to 154,491.84, 231,762.87 and 47,850.89

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Solution

The fourth proportional to 154,491.84, 231,762.87 and 47,850.89 is: 71,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,491.84 : 231,762.87 = 47,850.89 : x
  2. Step 2: Convert to fraction form
    154,491.84/231,762.87 = 47,850.89/x
  3. Step 3: Cross multiply
    154,491.84x = 231,762.87 × 47,850.89
  4. Step 4: Simplify right side
    154,491.84x = 11,090,058,439.64
  5. Step 5: Solve for x
    x = 11,090,058,439.64/154,491.84
  6. Step 6: Final answer
    x = 71,784.10

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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.