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Finding the Fourth Proportional to 202,466.70, 279,406.14 and 111,824.94

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Solution

The fourth proportional to 202,466.70, 279,406.14 and 111,824.94 is: 154,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,466.70 : 279,406.14 = 111,824.94 : x
  2. Step 2: Convert to fraction form
    202,466.70/279,406.14 = 111,824.94/x
  3. Step 3: Cross multiply
    202,466.70x = 279,406.14 × 111,824.94
  4. Step 4: Simplify right side
    202,466.70x = 31,244,574,841.13
  5. Step 5: Solve for x
    x = 31,244,574,841.13/202,466.70
  6. Step 6: Final answer
    x = 154,319.57

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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.