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Finding the Fourth Proportional to 200,907.07, 301,506.23 and 74,565.29

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Solution

The fourth proportional to 200,907.07, 301,506.23 and 74,565.29 is: 111,901.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,907.07 : 301,506.23 = 74,565.29 : x
  2. Step 2: Convert to fraction form
    200,907.07/301,506.23 = 74,565.29/x
  3. Step 3: Cross multiply
    200,907.07x = 301,506.23 × 74,565.29
  4. Step 4: Simplify right side
    200,907.07x = 22,481,900,416.94
  5. Step 5: Solve for x
    x = 22,481,900,416.94/200,907.07
  6. Step 6: Final answer
    x = 111,901.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.