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Finding the Fourth Proportional to 210,420.49, 290,380.26 and 114,927.41

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Solution

The fourth proportional to 210,420.49, 290,380.26 and 114,927.41 is: 158,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,420.49 : 290,380.26 = 114,927.41 : x
  2. Step 2: Convert to fraction form
    210,420.49/290,380.26 = 114,927.41/x
  3. Step 3: Cross multiply
    210,420.49x = 290,380.26 × 114,927.41
  4. Step 4: Simplify right side
    210,420.49x = 33,372,651,196.93
  5. Step 5: Solve for x
    x = 33,372,651,196.93/210,420.49
  6. Step 6: Final answer
    x = 158,599.82

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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.