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Finding the Fourth Proportional to 200,726.30, 301,089.45 and 200,726.30

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Solution

The fourth proportional to 200,726.30, 301,089.45 and 200,726.30 is: 301,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,726.30 : 301,089.45 = 200,726.30 : x
  2. Step 2: Convert to fraction form
    200,726.30/301,089.45 = 200,726.30/x
  3. Step 3: Cross multiply
    200,726.30x = 301,089.45 × 200,726.30
  4. Step 4: Simplify right side
    200,726.30x = 60,436,571,267.54
  5. Step 5: Solve for x
    x = 60,436,571,267.54/200,726.30
  6. Step 6: Final answer
    x = 301,089.45

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