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Finding the Fourth Proportional to 212,400.82, 293,110.81 and 116,905.47

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Solution

The fourth proportional to 212,400.82, 293,110.81 and 116,905.47 is: 161,328.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,400.82 : 293,110.81 = 116,905.47 : x
  2. Step 2: Convert to fraction form
    212,400.82/293,110.81 = 116,905.47/x
  3. Step 3: Cross multiply
    212,400.82x = 293,110.81 × 116,905.47
  4. Step 4: Simplify right side
    212,400.82x = 34,266,257,005.13
  5. Step 5: Solve for x
    x = 34,266,257,005.13/212,400.82
  6. Step 6: Final answer
    x = 161,328.27

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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.