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Finding the Fourth Proportional to 258,438.41, 356,649.21 and 142,156.46

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Solution

The fourth proportional to 258,438.41, 356,649.21 and 142,156.46 is: 196,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,438.41 : 356,649.21 = 142,156.46 : x
  2. Step 2: Convert to fraction form
    258,438.41/356,649.21 = 142,156.46/x
  3. Step 3: Cross multiply
    258,438.41x = 356,649.21 × 142,156.46
  4. Step 4: Simplify right side
    258,438.41x = 50,699,990,047.02
  5. Step 5: Solve for x
    x = 50,699,990,047.02/258,438.41
  6. Step 6: Final answer
    x = 196,178.23

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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.