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Finding the Fourth Proportional to 202,206.38, 279,040.14 and 111,562.29

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Solution

The fourth proportional to 202,206.38, 279,040.14 and 111,562.29 is: 153,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,206.38 : 279,040.14 = 111,562.29 : x
  2. Step 2: Convert to fraction form
    202,206.38/279,040.14 = 111,562.29/x
  3. Step 3: Cross multiply
    202,206.38x = 279,040.14 × 111,562.29
  4. Step 4: Simplify right side
    202,206.38x = 31,130,357,020.32
  5. Step 5: Solve for x
    x = 31,130,357,020.32/202,206.38
  6. Step 6: Final answer
    x = 153,953.39

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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.