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Finding the Fourth Proportional to 133,022.30, 199,533.45 and 77,726.30

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Solution

The fourth proportional to 133,022.30, 199,533.45 and 77,726.30 is: 116,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,022.30 : 199,533.45 = 77,726.30 : x
  2. Step 2: Convert to fraction form
    133,022.30/199,533.45 = 77,726.30/x
  3. Step 3: Cross multiply
    133,022.30x = 199,533.45 × 77,726.30
  4. Step 4: Simplify right side
    133,022.30x = 15,508,996,794.74
  5. Step 5: Solve for x
    x = 15,508,996,794.74/133,022.30
  6. Step 6: Final answer
    x = 116,589.45

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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.