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Finding the Fourth Proportional to 176,775, 265,170.74 and 50,423.91

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Solution

The fourth proportional to 176,775, 265,170.74 and 50,423.91 is: 75,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,775 : 265,170.74 = 50,423.91 : x
  2. Step 2: Convert to fraction form
    176,775/265,170.74 = 50,423.91/x
  3. Step 3: Cross multiply
    176,775x = 265,170.74 × 50,423.91
  4. Step 4: Simplify right side
    176,775x = 13,370,945,276.27
  5. Step 5: Solve for x
    x = 13,370,945,276.27/176,775
  6. Step 6: Final answer
    x = 75,638.21

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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.