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Finding the Fourth Proportional to 254,672.38, 382,041.38 and 77,148.12

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Solution

The fourth proportional to 254,672.38, 382,041.38 and 77,148.12 is: 115,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,672.38 : 382,041.38 = 77,148.12 : x
  2. Step 2: Convert to fraction form
    254,672.38/382,041.38 = 77,148.12/x
  3. Step 3: Cross multiply
    254,672.38x = 382,041.38 × 77,148.12
  4. Step 4: Simplify right side
    254,672.38x = 29,473,774,229.21
  5. Step 5: Solve for x
    x = 29,473,774,229.21/254,672.38
  6. Step 6: Final answer
    x = 115,732.12

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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.