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Finding the Fourth Proportional to 176,165.79, 264,200.09 and 49,796.07

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Solution

The fourth proportional to 176,165.79, 264,200.09 and 49,796.07 is: 74,680.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,165.79 : 264,200.09 = 49,796.07 : x
  2. Step 2: Convert to fraction form
    176,165.79/264,200.09 = 49,796.07/x
  3. Step 3: Cross multiply
    176,165.79x = 264,200.09 × 49,796.07
  4. Step 4: Simplify right side
    176,165.79x = 13,156,125,926.67
  5. Step 5: Solve for x
    x = 13,156,125,926.67/176,165.79
  6. Step 6: Final answer
    x = 74,680.37

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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.