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Finding the Fourth Proportional to 212,696.72, 293,534.52 and 117,203.36

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Solution

The fourth proportional to 212,696.72, 293,534.52 and 117,203.36 is: 161,747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,696.72 : 293,534.52 = 117,203.36 : x
  2. Step 2: Convert to fraction form
    212,696.72/293,534.52 = 117,203.36/x
  3. Step 3: Cross multiply
    212,696.72x = 293,534.52 × 117,203.36
  4. Step 4: Simplify right side
    212,696.72x = 34,403,232,019.99
  5. Step 5: Solve for x
    x = 34,403,232,019.99/212,696.72
  6. Step 6: Final answer
    x = 161,747.83

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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.