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Finding the Fourth Proportional to 234,406.82, 323,415.77 and 147,201.32

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Solution

The fourth proportional to 234,406.82, 323,415.77 and 147,201.32 is: 203,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,406.82 : 323,415.77 = 147,201.32 : x
  2. Step 2: Convert to fraction form
    234,406.82/323,415.77 = 147,201.32/x
  3. Step 3: Cross multiply
    234,406.82x = 323,415.77 × 147,201.32
  4. Step 4: Simplify right side
    234,406.82x = 47,607,228,032.55
  5. Step 5: Solve for x
    x = 47,607,228,032.55/234,406.82
  6. Step 6: Final answer
    x = 203,096.60

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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.