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Finding the Fourth Proportional to 202,238.38, 279,088.64 and 111,594.28

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Solution

The fourth proportional to 202,238.38, 279,088.64 and 111,594.28 is: 153,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,238.38 : 279,088.64 = 111,594.28 : x
  2. Step 2: Convert to fraction form
    202,238.38/279,088.64 = 111,594.28/x
  3. Step 3: Cross multiply
    202,238.38x = 279,088.64 × 111,594.28
  4. Step 4: Simplify right side
    202,238.38x = 31,144,695,836.98
  5. Step 5: Solve for x
    x = 31,144,695,836.98/202,238.38
  6. Step 6: Final answer
    x = 153,999.93

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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.