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Finding the Fourth Proportional to 213,257.34, 294,390.92 and 140,702.94

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Solution

The fourth proportional to 213,257.34, 294,390.92 and 140,702.94 is: 194,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,257.34 : 294,390.92 = 140,702.94 : x
  2. Step 2: Convert to fraction form
    213,257.34/294,390.92 = 140,702.94/x
  3. Step 3: Cross multiply
    213,257.34x = 294,390.92 × 140,702.94
  4. Step 4: Simplify right side
    213,257.34x = 41,421,666,469.51
  5. Step 5: Solve for x
    x = 41,421,666,469.51/213,257.34
  6. Step 6: Final answer
    x = 194,233.25

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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.