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Finding the Fourth Proportional to 105,448.70, 158,194.14 and 38,889.14

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Solution

The fourth proportional to 105,448.70, 158,194.14 and 38,889.14 is: 58,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,448.70 : 158,194.14 = 38,889.14 : x
  2. Step 2: Convert to fraction form
    105,448.70/158,194.14 = 38,889.14/x
  3. Step 3: Cross multiply
    105,448.70x = 158,194.14 × 38,889.14
  4. Step 4: Simplify right side
    105,448.70x = 6,152,034,057.64
  5. Step 5: Solve for x
    x = 6,152,034,057.64/105,448.70
  6. Step 6: Final answer
    x = 58,341.49

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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.