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Finding the Fourth Proportional to 133,007.61, 199,511.65 and 106,522.06

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Solution

The fourth proportional to 133,007.61, 199,511.65 and 106,522.06 is: 159,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,007.61 : 199,511.65 = 106,522.06 : x
  2. Step 2: Convert to fraction form
    133,007.61/199,511.65 = 106,522.06/x
  3. Step 3: Cross multiply
    133,007.61x = 199,511.65 × 106,522.06
  4. Step 4: Simplify right side
    133,007.61x = 21,252,391,952.00
  5. Step 5: Solve for x
    x = 21,252,391,952.00/133,007.61
  6. Step 6: Final answer
    x = 159,783.28

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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.