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Finding the Fourth Proportional to 213,348.34, 294,421.26 and 117,852.58

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Solution

The fourth proportional to 213,348.34, 294,421.26 and 117,852.58 is: 162,636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,348.34 : 294,421.26 = 117,852.58 : x
  2. Step 2: Convert to fraction form
    213,348.34/294,421.26 = 117,852.58/x
  3. Step 3: Cross multiply
    213,348.34x = 294,421.26 × 117,852.58
  4. Step 4: Simplify right side
    213,348.34x = 34,698,305,097.85
  5. Step 5: Solve for x
    x = 34,698,305,097.85/213,348.34
  6. Step 6: Final answer
    x = 162,636.86

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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.