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Finding the Fourth Proportional to 140,394, 193,743.36 and 76,732.26

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Solution

The fourth proportional to 140,394, 193,743.36 and 76,732.26 is: 105,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,394 : 193,743.36 = 76,732.26 : x
  2. Step 2: Convert to fraction form
    140,394/193,743.36 = 76,732.26/x
  3. Step 3: Cross multiply
    140,394x = 193,743.36 × 76,732.26
  4. Step 4: Simplify right side
    140,394x = 14,866,365,872.79
  5. Step 5: Solve for x
    x = 14,866,365,872.79/140,394
  6. Step 6: Final answer
    x = 105,890.32

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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.