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Finding the Fourth Proportional to 264,083, 364,435.14 and 150,905.48

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Solution

The fourth proportional to 264,083, 364,435.14 and 150,905.48 is: 208,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,083 : 364,435.14 = 150,905.48 : x
  2. Step 2: Convert to fraction form
    264,083/364,435.14 = 150,905.48/x
  3. Step 3: Cross multiply
    264,083x = 364,435.14 × 150,905.48
  4. Step 4: Simplify right side
    264,083x = 54,995,259,730.57
  5. Step 5: Solve for x
    x = 54,995,259,730.57/264,083
  6. Step 6: Final answer
    x = 208,249.91

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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.