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Finding the Fourth Proportional to 154,133, 231,199.50 and 43,325

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Solution

The fourth proportional to 154,133, 231,199.50 and 43,325 is: 64,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,133 : 231,199.50 = 43,325 : x
  2. Step 2: Convert to fraction form
    154,133/231,199.50 = 43,325/x
  3. Step 3: Cross multiply
    154,133x = 231,199.50 × 43,325
  4. Step 4: Simplify right side
    154,133x = 10,016,718,337.50
  5. Step 5: Solve for x
    x = 10,016,718,337.50/154,133
  6. Step 6: Final answer
    x = 64,987.50

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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.