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Finding the Fourth Proportional to 124,219, 186,331.74 and 41,113

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Solution

The fourth proportional to 124,219, 186,331.74 and 41,113 is: 61,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,219 : 186,331.74 = 41,113 : x
  2. Step 2: Convert to fraction form
    124,219/186,331.74 = 41,113/x
  3. Step 3: Cross multiply
    124,219x = 186,331.74 × 41,113
  4. Step 4: Simplify right side
    124,219x = 7,660,656,826.62
  5. Step 5: Solve for x
    x = 7,660,656,826.62/124,219
  6. Step 6: Final answer
    x = 61,670.57

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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.