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Finding the Fourth Proportional to 133,210.63, 199,894.75 and 49,029.92

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Solution

The fourth proportional to 133,210.63, 199,894.75 and 49,029.92 is: 73,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,210.63 : 199,894.75 = 49,029.92 : x
  2. Step 2: Convert to fraction form
    133,210.63/199,894.75 = 49,029.92/x
  3. Step 3: Cross multiply
    133,210.63x = 199,894.75 × 49,029.92
  4. Step 4: Simplify right side
    133,210.63x = 9,800,822,601.45
  5. Step 5: Solve for x
    x = 9,800,822,601.45/133,210.63
  6. Step 6: Final answer
    x = 73,573.88

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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.