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Finding the Fourth Proportional to 211,683.70, 292,073.25 and 119,804.23

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Solution

The fourth proportional to 211,683.70, 292,073.25 and 119,804.23 is: 165,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,683.70 : 292,073.25 = 119,804.23 : x
  2. Step 2: Convert to fraction form
    211,683.70/292,073.25 = 119,804.23/x
  3. Step 3: Cross multiply
    211,683.70x = 292,073.25 × 119,804.23
  4. Step 4: Simplify right side
    211,683.70x = 34,991,610,819.85
  5. Step 5: Solve for x
    x = 34,991,610,819.85/211,683.70
  6. Step 6: Final answer
    x = 165,301.39

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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.