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Finding the Fourth Proportional to 212,355.94, 293,051.24 and 116,862.63

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Solution

The fourth proportional to 212,355.94, 293,051.24 and 116,862.63 is: 161,270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,355.94 : 293,051.24 = 116,862.63 : x
  2. Step 2: Convert to fraction form
    212,355.94/293,051.24 = 116,862.63/x
  3. Step 3: Cross multiply
    212,355.94x = 293,051.24 × 116,862.63
  4. Step 4: Simplify right side
    212,355.94x = 34,246,738,046.85
  5. Step 5: Solve for x
    x = 34,246,738,046.85/212,355.94
  6. Step 6: Final answer
    x = 161,270.45

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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.