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Finding the Fourth Proportional to 176,451.07, 264,527.78 and 76,536

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Solution

The fourth proportional to 176,451.07, 264,527.78 and 76,536 is: 114,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,451.07 : 264,527.78 = 76,536 : x
  2. Step 2: Convert to fraction form
    176,451.07/264,527.78 = 76,536/x
  3. Step 3: Cross multiply
    176,451.07x = 264,527.78 × 76,536
  4. Step 4: Simplify right side
    176,451.07x = 20,245,898,170.08
  5. Step 5: Solve for x
    x = 20,245,898,170.08/176,451.07
  6. Step 6: Final answer
    x = 114,739.45

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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.