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Finding the Fourth Proportional to 133,007.69, 199,511.76 and 106,522.13

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Solution

The fourth proportional to 133,007.69, 199,511.76 and 106,522.13 is: 159,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,007.69 : 199,511.76 = 106,522.13 : x
  2. Step 2: Convert to fraction form
    133,007.69/199,511.76 = 106,522.13/x
  3. Step 3: Cross multiply
    133,007.69x = 199,511.76 × 106,522.13
  4. Step 4: Simplify right side
    133,007.69x = 21,252,417,102.64
  5. Step 5: Solve for x
    x = 21,252,417,102.64/133,007.69
  6. Step 6: Final answer
    x = 159,783.38

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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.