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Finding the Fourth Proportional to 124,218, 186,330.24 and 41,112

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Solution

The fourth proportional to 124,218, 186,330.24 and 41,112 is: 61,669.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,218 : 186,330.24 = 41,112 : x
  2. Step 2: Convert to fraction form
    124,218/186,330.24 = 41,112/x
  3. Step 3: Cross multiply
    124,218x = 186,330.24 × 41,112
  4. Step 4: Simplify right side
    124,218x = 7,660,408,826.88
  5. Step 5: Solve for x
    x = 7,660,408,826.88/124,218
  6. Step 6: Final answer
    x = 61,669.07

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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.