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Finding the Fourth Proportional to 213,035.95, 293,989.39 and 117,542.63

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Solution

The fourth proportional to 213,035.95, 293,989.39 and 117,542.63 is: 162,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,035.95 : 293,989.39 = 117,542.63 : x
  2. Step 2: Convert to fraction form
    213,035.95/293,989.39 = 117,542.63/x
  3. Step 3: Cross multiply
    213,035.95x = 293,989.39 × 117,542.63
  4. Step 4: Simplify right side
    213,035.95x = 34,556,286,533.81
  5. Step 5: Solve for x
    x = 34,556,286,533.81/213,035.95
  6. Step 6: Final answer
    x = 162,208.71

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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.