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Finding the Fourth Proportional to 218,460.24, 301,524.30 and 142,965

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Solution

The fourth proportional to 218,460.24, 301,524.30 and 142,965 is: 197,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,460.24 : 301,524.30 = 142,965 : x
  2. Step 2: Convert to fraction form
    218,460.24/301,524.30 = 142,965/x
  3. Step 3: Cross multiply
    218,460.24x = 301,524.30 × 142,965
  4. Step 4: Simplify right side
    218,460.24x = 43,107,421,549.50
  5. Step 5: Solve for x
    x = 43,107,421,549.50/218,460.24
  6. Step 6: Final answer
    x = 197,323.88

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