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Finding the Fourth Proportional to 140,103.72, 193,343.76 and 76,442.85

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Solution

The fourth proportional to 140,103.72, 193,343.76 and 76,442.85 is: 105,491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,103.72 : 193,343.76 = 76,442.85 : x
  2. Step 2: Convert to fraction form
    140,103.72/193,343.76 = 76,442.85/x
  3. Step 3: Cross multiply
    140,103.72x = 193,343.76 × 76,442.85
  4. Step 4: Simplify right side
    140,103.72x = 14,779,748,044.12
  5. Step 5: Solve for x
    x = 14,779,748,044.12/140,103.72
  6. Step 6: Final answer
    x = 105,491.47

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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.