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Finding the Fourth Proportional to 281,314.50, 421,971.75 and 84,322.50

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Solution

The fourth proportional to 281,314.50, 421,971.75 and 84,322.50 is: 126,483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,314.50 : 421,971.75 = 84,322.50 : x
  2. Step 2: Convert to fraction form
    281,314.50/421,971.75 = 84,322.50/x
  3. Step 3: Cross multiply
    281,314.50x = 421,971.75 × 84,322.50
  4. Step 4: Simplify right side
    281,314.50x = 35,581,712,889.38
  5. Step 5: Solve for x
    x = 35,581,712,889.38/281,314.50
  6. Step 6: Final answer
    x = 126,483.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.