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Finding the Fourth Proportional to 105,998.40, 158,898.78 and 35,828.64

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Solution

The fourth proportional to 105,998.40, 158,898.78 and 35,828.64 is: 53,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,998.40 : 158,898.78 = 35,828.64 : x
  2. Step 2: Convert to fraction form
    105,998.40/158,898.78 = 35,828.64/x
  3. Step 3: Cross multiply
    105,998.40x = 158,898.78 × 35,828.64
  4. Step 4: Simplify right side
    105,998.40x = 5,693,127,185.06
  5. Step 5: Solve for x
    x = 5,693,127,185.06/105,998.40
  6. Step 6: Final answer
    x = 53,709.56

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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.