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Finding the Fourth Proportional to 206,878.19, 310,341.58 and 73,777.37

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Solution

The fourth proportional to 206,878.19, 310,341.58 and 73,777.37 is: 110,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,878.19 : 310,341.58 = 73,777.37 : x
  2. Step 2: Convert to fraction form
    206,878.19/310,341.58 = 73,777.37/x
  3. Step 3: Cross multiply
    206,878.19x = 310,341.58 × 73,777.37
  4. Step 4: Simplify right side
    206,878.19x = 22,896,183,837.89
  5. Step 5: Solve for x
    x = 22,896,183,837.89/206,878.19
  6. Step 6: Final answer
    x = 110,674.71

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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.