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Finding the Fourth Proportional to 202,596.74, 279,582.81 and 111,950.18

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Solution

The fourth proportional to 202,596.74, 279,582.81 and 111,950.18 is: 154,490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,596.74 : 279,582.81 = 111,950.18 : x
  2. Step 2: Convert to fraction form
    202,596.74/279,582.81 = 111,950.18/x
  3. Step 3: Cross multiply
    202,596.74x = 279,582.81 × 111,950.18
  4. Step 4: Simplify right side
    202,596.74x = 31,299,345,904.41
  5. Step 5: Solve for x
    x = 31,299,345,904.41/202,596.74
  6. Step 6: Final answer
    x = 154,490.87

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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.