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Finding the Fourth Proportional to 219,258.19, 302,634.80 and 123,820.75

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Solution

The fourth proportional to 219,258.19, 302,634.80 and 123,820.75 is: 170,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,258.19 : 302,634.80 = 123,820.75 : x
  2. Step 2: Convert to fraction form
    219,258.19/302,634.80 = 123,820.75/x
  3. Step 3: Cross multiply
    219,258.19x = 302,634.80 × 123,820.75
  4. Step 4: Simplify right side
    219,258.19x = 37,472,467,912.10
  5. Step 5: Solve for x
    x = 37,472,467,912.10/219,258.19
  6. Step 6: Final answer
    x = 170,905.67

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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.