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Finding the Fourth Proportional to 202,510.38, 279,466.92 and 111,865.98

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Solution

The fourth proportional to 202,510.38, 279,466.92 and 111,865.98 is: 154,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,510.38 : 279,466.92 = 111,865.98 : x
  2. Step 2: Convert to fraction form
    202,510.38/279,466.92 = 111,865.98/x
  3. Step 3: Cross multiply
    202,510.38x = 279,466.92 × 111,865.98
  4. Step 4: Simplify right side
    202,510.38x = 31,262,840,883.38
  5. Step 5: Solve for x
    x = 31,262,840,883.38/202,510.38
  6. Step 6: Final answer
    x = 154,376.49

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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.