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Finding the Fourth Proportional to 140,197.92, 193,470 and 76,536.80

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Solution

The fourth proportional to 140,197.92, 193,470 and 76,536.80 is: 105,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,197.92 : 193,470 = 76,536.80 : x
  2. Step 2: Convert to fraction form
    140,197.92/193,470 = 76,536.80/x
  3. Step 3: Cross multiply
    140,197.92x = 193,470 × 76,536.80
  4. Step 4: Simplify right side
    140,197.92x = 14,807,574,696
  5. Step 5: Solve for x
    x = 14,807,574,696/140,197.92
  6. Step 6: Final answer
    x = 105,619.08

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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.