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Finding the Fourth Proportional to 213,186.41, 294,189.51 and 117,691.05

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Solution

The fourth proportional to 213,186.41, 294,189.51 and 117,691.05 is: 162,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,186.41 : 294,189.51 = 117,691.05 : x
  2. Step 2: Convert to fraction form
    213,186.41/294,189.51 = 117,691.05/x
  3. Step 3: Cross multiply
    213,186.41x = 294,189.51 × 117,691.05
  4. Step 4: Simplify right side
    213,186.41x = 34,623,472,330.89
  5. Step 5: Solve for x
    x = 34,623,472,330.89/213,186.41
  6. Step 6: Final answer
    x = 162,409.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.