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Finding the Fourth Proportional to 264,030.96, 364,382 and 150,851.28

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Solution

The fourth proportional to 264,030.96, 364,382 and 150,851.28 is: 208,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,030.96 : 364,382 = 150,851.28 : x
  2. Step 2: Convert to fraction form
    264,030.96/364,382 = 150,851.28/x
  3. Step 3: Cross multiply
    264,030.96x = 364,382 × 150,851.28
  4. Step 4: Simplify right side
    264,030.96x = 54,967,491,108.96
  5. Step 5: Solve for x
    x = 54,967,491,108.96/264,030.96
  6. Step 6: Final answer
    x = 208,185.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.