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Finding the Fourth Proportional to 213,904.29, 295,190.11 and 118,408.94

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Solution

The fourth proportional to 213,904.29, 295,190.11 and 118,408.94 is: 163,405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,904.29 : 295,190.11 = 118,408.94 : x
  2. Step 2: Convert to fraction form
    213,904.29/295,190.11 = 118,408.94/x
  3. Step 3: Cross multiply
    213,904.29x = 295,190.11 × 118,408.94
  4. Step 4: Simplify right side
    213,904.29x = 34,953,145,955.59
  5. Step 5: Solve for x
    x = 34,953,145,955.59/213,904.29
  6. Step 6: Final answer
    x = 163,405.54

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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.