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Finding the Fourth Proportional to 234,473.10, 351,421.08 and 133,356

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Solution

The fourth proportional to 234,473.10, 351,421.08 and 133,356 is: 199,869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,473.10 : 351,421.08 = 133,356 : x
  2. Step 2: Convert to fraction form
    234,473.10/351,421.08 = 133,356/x
  3. Step 3: Cross multiply
    234,473.10x = 351,421.08 × 133,356
  4. Step 4: Simplify right side
    234,473.10x = 46,864,109,544.48
  5. Step 5: Solve for x
    x = 46,864,109,544.48/234,473.10
  6. Step 6: Final answer
    x = 199,869.88

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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.