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Finding the Fourth Proportional to 219,540.12, 302,966.82 and 118,938.12

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Solution

The fourth proportional to 219,540.12, 302,966.82 and 118,938.12 is: 164,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,540.12 : 302,966.82 = 118,938.12 : x
  2. Step 2: Convert to fraction form
    219,540.12/302,966.82 = 118,938.12/x
  3. Step 3: Cross multiply
    219,540.12x = 302,966.82 × 118,938.12
  4. Step 4: Simplify right side
    219,540.12x = 36,034,303,993.18
  5. Step 5: Solve for x
    x = 36,034,303,993.18/219,540.12
  6. Step 6: Final answer
    x = 164,135.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.