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Finding the Fourth Proportional to 176,527.50, 264,791.25 and 51,868.50

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Solution

The fourth proportional to 176,527.50, 264,791.25 and 51,868.50 is: 77,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,527.50 : 264,791.25 = 51,868.50 : x
  2. Step 2: Convert to fraction form
    176,527.50/264,791.25 = 51,868.50/x
  3. Step 3: Cross multiply
    176,527.50x = 264,791.25 × 51,868.50
  4. Step 4: Simplify right side
    176,527.50x = 13,734,324,950.63
  5. Step 5: Solve for x
    x = 13,734,324,950.63/176,527.50
  6. Step 6: Final answer
    x = 77,802.75

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Why These Related Problems?

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