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Finding the Fourth Proportional to 154,005, 231,099.66 and 66,453

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Solution

The fourth proportional to 154,005, 231,099.66 and 66,453 is: 99,719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,005 : 231,099.66 = 66,453 : x
  2. Step 2: Convert to fraction form
    154,005/231,099.66 = 66,453/x
  3. Step 3: Cross multiply
    154,005x = 231,099.66 × 66,453
  4. Step 4: Simplify right side
    154,005x = 15,357,265,705.98
  5. Step 5: Solve for x
    x = 15,357,265,705.98/154,005
  6. Step 6: Final answer
    x = 99,719.27

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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.