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Finding the Fourth Proportional to 218,412.81, 301,359.83 and 122,884.65

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Solution

The fourth proportional to 218,412.81, 301,359.83 and 122,884.65 is: 169,552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,412.81 : 301,359.83 = 122,884.65 : x
  2. Step 2: Convert to fraction form
    218,412.81/301,359.83 = 122,884.65/x
  3. Step 3: Cross multiply
    218,412.81x = 301,359.83 × 122,884.65
  4. Step 4: Simplify right side
    218,412.81x = 37,032,496,619.19
  5. Step 5: Solve for x
    x = 37,032,496,619.19/218,412.81
  6. Step 6: Final answer
    x = 169,552.77

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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.