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Finding the Fourth Proportional to 202,224.76, 279,071.66 and 111,584.07

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Solution

The fourth proportional to 202,224.76, 279,071.66 and 111,584.07 is: 153,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,224.76 : 279,071.66 = 111,584.07 : x
  2. Step 2: Convert to fraction form
    202,224.76/279,071.66 = 111,584.07/x
  3. Step 3: Cross multiply
    202,224.76x = 279,071.66 × 111,584.07
  4. Step 4: Simplify right side
    202,224.76x = 31,139,951,644.46
  5. Step 5: Solve for x
    x = 31,139,951,644.46/202,224.76
  6. Step 6: Final answer
    x = 153,986.84

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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.