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Finding the Fourth Proportional to 210,224.70, 290,099.43 and 114,730.62

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Solution

The fourth proportional to 210,224.70, 290,099.43 and 114,730.62 is: 158,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,224.70 : 290,099.43 = 114,730.62 : x
  2. Step 2: Convert to fraction form
    210,224.70/290,099.43 = 114,730.62/x
  3. Step 3: Cross multiply
    210,224.70x = 290,099.43 × 114,730.62
  4. Step 4: Simplify right side
    210,224.70x = 33,283,287,465.55
  5. Step 5: Solve for x
    x = 33,283,287,465.55/210,224.70
  6. Step 6: Final answer
    x = 158,322.44

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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.