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Finding the Fourth Proportional to 220,935.72, 305,071.20 and 180,106.32

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Solution

The fourth proportional to 220,935.72, 305,071.20 and 180,106.32 is: 248,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,935.72 : 305,071.20 = 180,106.32 : x
  2. Step 2: Convert to fraction form
    220,935.72/305,071.20 = 180,106.32/x
  3. Step 3: Cross multiply
    220,935.72x = 305,071.20 × 180,106.32
  4. Step 4: Simplify right side
    220,935.72x = 54,945,251,169.98
  5. Step 5: Solve for x
    x = 54,945,251,169.98/220,935.72
  6. Step 6: Final answer
    x = 248,693.38

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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.