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Finding the Fourth Proportional to 176,124.86, 264,173.24 and 49,760

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Solution

The fourth proportional to 176,124.86, 264,173.24 and 49,760 is: 74,636.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,124.86 : 264,173.24 = 49,760 : x
  2. Step 2: Convert to fraction form
    176,124.86/264,173.24 = 49,760/x
  3. Step 3: Cross multiply
    176,124.86x = 264,173.24 × 49,760
  4. Step 4: Simplify right side
    176,124.86x = 13,145,260,422.40
  5. Step 5: Solve for x
    x = 13,145,260,422.40/176,124.86
  6. Step 6: Final answer
    x = 74,636.03

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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.