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Finding the Fourth Proportional to 214,649.30, 321,973.95 and 74,407.94

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Solution

The fourth proportional to 214,649.30, 321,973.95 and 74,407.94 is: 111,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,649.30 : 321,973.95 = 74,407.94 : x
  2. Step 2: Convert to fraction form
    214,649.30/321,973.95 = 74,407.94/x
  3. Step 3: Cross multiply
    214,649.30x = 321,973.95 × 74,407.94
  4. Step 4: Simplify right side
    214,649.30x = 23,957,418,353.16
  5. Step 5: Solve for x
    x = 23,957,418,353.16/214,649.30
  6. Step 6: Final answer
    x = 111,611.91

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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.