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Finding the Fourth Proportional to 176,465.88, 264,708.91 and 50,096.24

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Solution

The fourth proportional to 176,465.88, 264,708.91 and 50,096.24 is: 75,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,465.88 : 264,708.91 = 50,096.24 : x
  2. Step 2: Convert to fraction form
    176,465.88/264,708.91 = 50,096.24/x
  3. Step 3: Cross multiply
    176,465.88x = 264,708.91 × 50,096.24
  4. Step 4: Simplify right side
    176,465.88x = 13,260,921,085.50
  5. Step 5: Solve for x
    x = 13,260,921,085.50/176,465.88
  6. Step 6: Final answer
    x = 75,147.22

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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.