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Finding the Fourth Proportional to 299,782.08, 413,503.38 and 192,181.68

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Solution

The fourth proportional to 299,782.08, 413,503.38 and 192,181.68 is: 265,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,782.08 : 413,503.38 = 192,181.68 : x
  2. Step 2: Convert to fraction form
    299,782.08/413,503.38 = 192,181.68/x
  3. Step 3: Cross multiply
    299,782.08x = 413,503.38 × 192,181.68
  4. Step 4: Simplify right side
    299,782.08x = 79,467,774,254.08
  5. Step 5: Solve for x
    x = 79,467,774,254.08/299,782.08
  6. Step 6: Final answer
    x = 265,085.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.