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Finding the Fourth Proportional to 140,170.90, 193,432.76 and 76,509.76

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Solution

The fourth proportional to 140,170.90, 193,432.76 and 76,509.76 is: 105,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,170.90 : 193,432.76 = 76,509.76 : x
  2. Step 2: Convert to fraction form
    140,170.90/193,432.76 = 76,509.76/x
  3. Step 3: Cross multiply
    140,170.90x = 193,432.76 × 76,509.76
  4. Step 4: Simplify right side
    140,170.90x = 14,799,494,043.74
  5. Step 5: Solve for x
    x = 14,799,494,043.74/140,170.90
  6. Step 6: Final answer
    x = 105,581.79

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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.