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Finding the Fourth Proportional to 213,499.86, 294,624.69 and 116,699.40

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Solution

The fourth proportional to 213,499.86, 294,624.69 and 116,699.40 is: 161,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,499.86 : 294,624.69 = 116,699.40 : x
  2. Step 2: Convert to fraction form
    213,499.86/294,624.69 = 116,699.40/x
  3. Step 3: Cross multiply
    213,499.86x = 294,624.69 × 116,699.40
  4. Step 4: Simplify right side
    213,499.86x = 34,382,524,548.19
  5. Step 5: Solve for x
    x = 34,382,524,548.19/213,499.86
  6. Step 6: Final answer
    x = 161,042.38

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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.