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Finding the Fourth Proportional to 176,440.63, 264,512.16 and 76,525.57

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Solution

The fourth proportional to 176,440.63, 264,512.16 and 76,525.57 is: 114,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,440.63 : 264,512.16 = 76,525.57 : x
  2. Step 2: Convert to fraction form
    176,440.63/264,512.16 = 76,525.57/x
  3. Step 3: Cross multiply
    176,440.63x = 264,512.16 × 76,525.57
  4. Step 4: Simplify right side
    176,440.63x = 20,241,943,815.93
  5. Step 5: Solve for x
    x = 20,241,943,815.93/176,440.63
  6. Step 6: Final answer
    x = 114,723.82

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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.