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Finding the Fourth Proportional to 124,266, 186,403.32 and 41,157.84

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Solution

The fourth proportional to 124,266, 186,403.32 and 41,157.84 is: 61,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,266 : 186,403.32 = 41,157.84 : x
  2. Step 2: Convert to fraction form
    124,266/186,403.32 = 41,157.84/x
  3. Step 3: Cross multiply
    124,266x = 186,403.32 × 41,157.84
  4. Step 4: Simplify right side
    124,266x = 7,671,958,020.03
  5. Step 5: Solve for x
    x = 7,671,958,020.03/124,266
  6. Step 6: Final answer
    x = 61,738.19

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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.