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Finding the Fourth Proportional to 154,713.99, 231,711.13 and 150,457.20

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Solution

The fourth proportional to 154,713.99, 231,711.13 and 150,457.20 is: 225,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,713.99 : 231,711.13 = 150,457.20 : x
  2. Step 2: Convert to fraction form
    154,713.99/231,711.13 = 150,457.20/x
  3. Step 3: Cross multiply
    154,713.99x = 231,711.13 × 150,457.20
  4. Step 4: Simplify right side
    154,713.99x = 34,862,607,828.64
  5. Step 5: Solve for x
    x = 34,862,607,828.64/154,713.99
  6. Step 6: Final answer
    x = 225,335.85

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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.