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Finding the Fourth Proportional to 165,759.79, 248,813.59 and 146,905.06

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Solution

The fourth proportional to 165,759.79, 248,813.59 and 146,905.06 is: 220,511.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,759.79 : 248,813.59 = 146,905.06 : x
  2. Step 2: Convert to fraction form
    165,759.79/248,813.59 = 146,905.06/x
  3. Step 3: Cross multiply
    165,759.79x = 248,813.59 × 146,905.06
  4. Step 4: Simplify right side
    165,759.79x = 36,551,975,112.99
  5. Step 5: Solve for x
    x = 36,551,975,112.99/165,759.79
  6. Step 6: Final answer
    x = 220,511.72

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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.