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Finding the Fourth Proportional to 176,173.15, 264,268.62 and 49,822.48

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Solution

The fourth proportional to 176,173.15, 264,268.62 and 49,822.48 is: 74,736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,173.15 : 264,268.62 = 49,822.48 : x
  2. Step 2: Convert to fraction form
    176,173.15/264,268.62 = 49,822.48/x
  3. Step 3: Cross multiply
    176,173.15x = 264,268.62 × 49,822.48
  4. Step 4: Simplify right side
    176,173.15x = 13,166,518,034.58
  5. Step 5: Solve for x
    x = 13,166,518,034.58/176,173.15
  6. Step 6: Final answer
    x = 74,736.24

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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.