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Finding the Fourth Proportional to 186,465.12, 257,314.26 and 113,989.37

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Solution

The fourth proportional to 186,465.12, 257,314.26 and 113,989.37 is: 157,300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,465.12 : 257,314.26 = 113,989.37 : x
  2. Step 2: Convert to fraction form
    186,465.12/257,314.26 = 113,989.37/x
  3. Step 3: Cross multiply
    186,465.12x = 257,314.26 × 113,989.37
  4. Step 4: Simplify right side
    186,465.12x = 29,331,089,102.84
  5. Step 5: Solve for x
    x = 29,331,089,102.84/186,465.12
  6. Step 6: Final answer
    x = 157,300.67

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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.