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Finding the Fourth Proportional to 254,172.49, 380,992.74 and 85,634.58

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Solution

The fourth proportional to 254,172.49, 380,992.74 and 85,634.58 is: 128,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,172.49 : 380,992.74 = 85,634.58 : x
  2. Step 2: Convert to fraction form
    254,172.49/380,992.74 = 85,634.58/x
  3. Step 3: Cross multiply
    254,172.49x = 380,992.74 × 85,634.58
  4. Step 4: Simplify right side
    254,172.49x = 32,626,153,272.95
  5. Step 5: Solve for x
    x = 32,626,153,272.95/254,172.49
  6. Step 6: Final answer
    x = 128,362.25

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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.