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Finding the Fourth Proportional to 219,102.98, 302,375.94 and 123,574.82

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Solution

The fourth proportional to 219,102.98, 302,375.94 and 123,574.82 is: 170,541.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,102.98 : 302,375.94 = 123,574.82 : x
  2. Step 2: Convert to fraction form
    219,102.98/302,375.94 = 123,574.82/x
  3. Step 3: Cross multiply
    219,102.98x = 302,375.94 × 123,574.82
  4. Step 4: Simplify right side
    219,102.98x = 37,366,052,357.83
  5. Step 5: Solve for x
    x = 37,366,052,357.83/219,102.98
  6. Step 6: Final answer
    x = 170,541.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.