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Finding the Fourth Proportional to 242,021.17, 362,983.89 and 230,019.08

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Solution

The fourth proportional to 242,021.17, 362,983.89 and 230,019.08 is: 344,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,021.17 : 362,983.89 = 230,019.08 : x
  2. Step 2: Convert to fraction form
    242,021.17/362,983.89 = 230,019.08/x
  3. Step 3: Cross multiply
    242,021.17x = 362,983.89 × 230,019.08
  4. Step 4: Simplify right side
    242,021.17x = 83,493,220,432.62
  5. Step 5: Solve for x
    x = 83,493,220,432.62/242,021.17
  6. Step 6: Final answer
    x = 344,983.14

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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.