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Finding the Fourth Proportional to 212,516.69, 293,274.95 and 117,023.77

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Solution

The fourth proportional to 212,516.69, 293,274.95 and 117,023.77 is: 161,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,516.69 : 293,274.95 = 117,023.77 : x
  2. Step 2: Convert to fraction form
    212,516.69/293,274.95 = 117,023.77/x
  3. Step 3: Cross multiply
    212,516.69x = 293,274.95 × 117,023.77
  4. Step 4: Simplify right side
    212,516.69x = 34,320,139,710.44
  5. Step 5: Solve for x
    x = 34,320,139,710.44/212,516.69
  6. Step 6: Final answer
    x = 161,493.86

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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.