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Finding the Fourth Proportional to 105,164.69, 157,747.03 and 55,905.17

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Solution

The fourth proportional to 105,164.69, 157,747.03 and 55,905.17 is: 83,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,164.69 : 157,747.03 = 55,905.17 : x
  2. Step 2: Convert to fraction form
    105,164.69/157,747.03 = 55,905.17/x
  3. Step 3: Cross multiply
    105,164.69x = 157,747.03 × 55,905.17
  4. Step 4: Simplify right side
    105,164.69x = 8,818,873,600.65
  5. Step 5: Solve for x
    x = 8,818,873,600.65/105,164.69
  6. Step 6: Final answer
    x = 83,857.75

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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.