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Finding the Fourth Proportional to 133,048.65, 199,467 and 76,824.93

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Solution

The fourth proportional to 133,048.65, 199,467 and 76,824.93 is: 115,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,048.65 : 199,467 = 76,824.93 : x
  2. Step 2: Convert to fraction form
    133,048.65/199,467 = 76,824.93/x
  3. Step 3: Cross multiply
    133,048.65x = 199,467 × 76,824.93
  4. Step 4: Simplify right side
    133,048.65x = 15,324,038,312.31
  5. Step 5: Solve for x
    x = 15,324,038,312.31/133,048.65
  6. Step 6: Final answer
    x = 115,176.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.