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Finding the Fourth Proportional to 254,814.34, 382,201.98 and 77,322.28

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Solution

The fourth proportional to 254,814.34, 382,201.98 and 77,322.28 is: 115,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,814.34 : 382,201.98 = 77,322.28 : x
  2. Step 2: Convert to fraction form
    254,814.34/382,201.98 = 77,322.28/x
  3. Step 3: Cross multiply
    254,814.34x = 382,201.98 × 77,322.28
  4. Step 4: Simplify right side
    254,814.34x = 29,552,728,514.11
  5. Step 5: Solve for x
    x = 29,552,728,514.11/254,814.34
  6. Step 6: Final answer
    x = 115,977.49

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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.