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Finding the Fourth Proportional to 176,156.15, 264,243.12 and 49,805.47

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Solution

The fourth proportional to 176,156.15, 264,243.12 and 49,805.47 is: 74,710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,156.15 : 264,243.12 = 49,805.47 : x
  2. Step 2: Convert to fraction form
    176,156.15/264,243.12 = 49,805.47/x
  3. Step 3: Cross multiply
    176,156.15x = 264,243.12 × 49,805.47
  4. Step 4: Simplify right side
    176,156.15x = 13,160,751,215.62
  5. Step 5: Solve for x
    x = 13,160,751,215.62/176,156.15
  6. Step 6: Final answer
    x = 74,710.71

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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.