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Finding the Fourth Proportional to 209,438.19, 289,012.48 and 117,548.94

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Solution

The fourth proportional to 209,438.19, 289,012.48 and 117,548.94 is: 162,210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,438.19 : 289,012.48 = 117,548.94 : x
  2. Step 2: Convert to fraction form
    209,438.19/289,012.48 = 117,548.94/x
  3. Step 3: Cross multiply
    209,438.19x = 289,012.48 × 117,548.94
  4. Step 4: Simplify right side
    209,438.19x = 33,973,109,518.06
  5. Step 5: Solve for x
    x = 33,973,109,518.06/209,438.19
  6. Step 6: Final answer
    x = 162,210.67

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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.