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Finding the Fourth Proportional to 254,921.45, 382,357.26 and 77,430

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Solution

The fourth proportional to 254,921.45, 382,357.26 and 77,430 is: 116,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,921.45 : 382,357.26 = 77,430 : x
  2. Step 2: Convert to fraction form
    254,921.45/382,357.26 = 77,430/x
  3. Step 3: Cross multiply
    254,921.45x = 382,357.26 × 77,430
  4. Step 4: Simplify right side
    254,921.45x = 29,605,922,641.80
  5. Step 5: Solve for x
    x = 29,605,922,641.80/254,921.45
  6. Step 6: Final answer
    x = 116,137.43

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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.