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Finding the Fourth Proportional to 124,850.16, 187,301.16 and 41,742

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Solution

The fourth proportional to 124,850.16, 187,301.16 and 41,742 is: 62,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,850.16 : 187,301.16 = 41,742 : x
  2. Step 2: Convert to fraction form
    124,850.16/187,301.16 = 41,742/x
  3. Step 3: Cross multiply
    124,850.16x = 187,301.16 × 41,742
  4. Step 4: Simplify right side
    124,850.16x = 7,818,325,020.72
  5. Step 5: Solve for x
    x = 7,818,325,020.72/124,850.16
  6. Step 6: Final answer
    x = 62,621.67

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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.