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Finding the Fourth Proportional to 136,830.12, 188,823.72 and 76,401.78

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Solution

The fourth proportional to 136,830.12, 188,823.72 and 76,401.78 is: 105,433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,830.12 : 188,823.72 = 76,401.78 : x
  2. Step 2: Convert to fraction form
    136,830.12/188,823.72 = 76,401.78/x
  3. Step 3: Cross multiply
    136,830.12x = 188,823.72 × 76,401.78
  4. Step 4: Simplify right side
    136,830.12x = 14,426,468,314.22
  5. Step 5: Solve for x
    x = 14,426,468,314.22/136,830.12
  6. Step 6: Final answer
    x = 105,433.43

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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.