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Finding the Fourth Proportional to 210,233.25, 290,077.54 and 133,724.50

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Solution

The fourth proportional to 210,233.25, 290,077.54 and 133,724.50 is: 184,511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,233.25 : 290,077.54 = 133,724.50 : x
  2. Step 2: Convert to fraction form
    210,233.25/290,077.54 = 133,724.50/x
  3. Step 3: Cross multiply
    210,233.25x = 290,077.54 × 133,724.50
  4. Step 4: Simplify right side
    210,233.25x = 38,790,473,997.73
  5. Step 5: Solve for x
    x = 38,790,473,997.73/210,233.25
  6. Step 6: Final answer
    x = 184,511.60

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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.