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Finding the Fourth Proportional to 70,148.37, 105,238.10 and 20,224.57

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Solution

The fourth proportional to 70,148.37, 105,238.10 and 20,224.57 is: 30,341.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,148.37 : 105,238.10 = 20,224.57 : x
  2. Step 2: Convert to fraction form
    70,148.37/105,238.10 = 20,224.57/x
  3. Step 3: Cross multiply
    70,148.37x = 105,238.10 × 20,224.57
  4. Step 4: Simplify right side
    70,148.37x = 2,128,395,006.46
  5. Step 5: Solve for x
    x = 2,128,395,006.46/70,148.37
  6. Step 6: Final answer
    x = 30,341.33

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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.