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Finding the Fourth Proportional to 140,098.68, 193,336.82 and 76,437.80

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Solution

The fourth proportional to 140,098.68, 193,336.82 and 76,437.80 is: 105,484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,098.68 : 193,336.82 = 76,437.80 : x
  2. Step 2: Convert to fraction form
    140,098.68/193,336.82 = 76,437.80/x
  3. Step 3: Cross multiply
    140,098.68x = 193,336.82 × 76,437.80
  4. Step 4: Simplify right side
    140,098.68x = 14,778,241,179.80
  5. Step 5: Solve for x
    x = 14,778,241,179.80/140,098.68
  6. Step 6: Final answer
    x = 105,484.51

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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.