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Finding the Fourth Proportional to 209,918.34, 289,676.37 and 119,261.72

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Solution

The fourth proportional to 209,918.34, 289,676.37 and 119,261.72 is: 164,574.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,918.34 : 289,676.37 = 119,261.72 : x
  2. Step 2: Convert to fraction form
    209,918.34/289,676.37 = 119,261.72/x
  3. Step 3: Cross multiply
    209,918.34x = 289,676.37 × 119,261.72
  4. Step 4: Simplify right side
    209,918.34x = 34,547,302,214.69
  5. Step 5: Solve for x
    x = 34,547,302,214.69/209,918.34
  6. Step 6: Final answer
    x = 164,574.96

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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.