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Finding the Fourth Proportional to 133,366, 200,050.92 and 34,870

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Solution

The fourth proportional to 133,366, 200,050.92 and 34,870 is: 52,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,366 : 200,050.92 = 34,870 : x
  2. Step 2: Convert to fraction form
    133,366/200,050.92 = 34,870/x
  3. Step 3: Cross multiply
    133,366x = 200,050.92 × 34,870
  4. Step 4: Simplify right side
    133,366x = 6,975,775,580.40
  5. Step 5: Solve for x
    x = 6,975,775,580.40/133,366
  6. Step 6: Final answer
    x = 52,305.50

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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.