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Finding the Fourth Proportional to 354,805.68, 532,021.25 and 154,892.01

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Solution

The fourth proportional to 354,805.68, 532,021.25 and 154,892.01 is: 232,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,805.68 : 532,021.25 = 154,892.01 : x
  2. Step 2: Convert to fraction form
    354,805.68/532,021.25 = 154,892.01/x
  3. Step 3: Cross multiply
    354,805.68x = 532,021.25 × 154,892.01
  4. Step 4: Simplify right side
    354,805.68x = 82,405,840,775.21
  5. Step 5: Solve for x
    x = 82,405,840,775.21/354,805.68
  6. Step 6: Final answer
    x = 232,256.26

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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.