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Finding the Fourth Proportional to 264,073.77, 364,414.95 and 150,896.52

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Solution

The fourth proportional to 264,073.77, 364,414.95 and 150,896.52 is: 208,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,073.77 : 364,414.95 = 150,896.52 : x
  2. Step 2: Convert to fraction form
    264,073.77/364,414.95 = 150,896.52/x
  3. Step 3: Cross multiply
    264,073.77x = 364,414.95 × 150,896.52
  4. Step 4: Simplify right side
    264,073.77x = 54,988,947,790.97
  5. Step 5: Solve for x
    x = 54,988,947,790.97/264,073.77
  6. Step 6: Final answer
    x = 208,233.28

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1.5x scale

Why These Related Problems?

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