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Finding the Fourth Proportional to 202,199.94, 279,051.75 and 111,573.90

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Solution

The fourth proportional to 202,199.94, 279,051.75 and 111,573.90 is: 153,980.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,199.94 : 279,051.75 = 111,573.90 : x
  2. Step 2: Convert to fraction form
    202,199.94/279,051.75 = 111,573.90/x
  3. Step 3: Cross multiply
    202,199.94x = 279,051.75 × 111,573.90
  4. Step 4: Simplify right side
    202,199.94x = 31,134,892,049.33
  5. Step 5: Solve for x
    x = 31,134,892,049.33/202,199.94
  6. Step 6: Final answer
    x = 153,980.72

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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.