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Finding the Fourth Proportional to 218,313.95, 301,272.80 and 122,820.75

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Solution

The fourth proportional to 218,313.95, 301,272.80 and 122,820.75 is: 169,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,313.95 : 301,272.80 = 122,820.75 : x
  2. Step 2: Convert to fraction form
    218,313.95/301,272.80 = 122,820.75/x
  3. Step 3: Cross multiply
    218,313.95x = 301,272.80 × 122,820.75
  4. Step 4: Simplify right side
    218,313.95x = 37,002,550,636.50
  5. Step 5: Solve for x
    x = 37,002,550,636.50/218,313.95
  6. Step 6: Final answer
    x = 169,492.38

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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.