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Finding the Fourth Proportional to 218,712.75, 301,823.61 and 118,110.75

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Solution

The fourth proportional to 218,712.75, 301,823.61 and 118,110.75 is: 162,992.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,712.75 : 301,823.61 = 118,110.75 : x
  2. Step 2: Convert to fraction form
    218,712.75/301,823.61 = 118,110.75/x
  3. Step 3: Cross multiply
    218,712.75x = 301,823.61 × 118,110.75
  4. Step 4: Simplify right side
    218,712.75x = 35,648,612,944.81
  5. Step 5: Solve for x
    x = 35,648,612,944.81/218,712.75
  6. Step 6: Final answer
    x = 162,992.84

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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.