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Finding the Fourth Proportional to 254,316.47, 381,478.34 and 76,825.01

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Solution

The fourth proportional to 254,316.47, 381,478.34 and 76,825.01 is: 115,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,316.47 : 381,478.34 = 76,825.01 : x
  2. Step 2: Convert to fraction form
    254,316.47/381,478.34 = 76,825.01/x
  3. Step 3: Cross multiply
    254,316.47x = 381,478.34 × 76,825.01
  4. Step 4: Simplify right side
    254,316.47x = 29,307,078,431.04
  5. Step 5: Solve for x
    x = 29,307,078,431.04/254,316.47
  6. Step 6: Final answer
    x = 115,238.62

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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.