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Finding the Fourth Proportional to 176,798.82, 265,198.95 and 71,619.78

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Solution

The fourth proportional to 176,798.82, 265,198.95 and 71,619.78 is: 107,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,798.82 : 265,198.95 = 71,619.78 : x
  2. Step 2: Convert to fraction form
    176,798.82/265,198.95 = 71,619.78/x
  3. Step 3: Cross multiply
    176,798.82x = 265,198.95 × 71,619.78
  4. Step 4: Simplify right side
    176,798.82x = 18,993,490,455.23
  5. Step 5: Solve for x
    x = 18,993,490,455.23/176,798.82
  6. Step 6: Final answer
    x = 107,429.96

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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.