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Finding the Fourth Proportional to 176,345.84, 264,532.26 and 49,983.96

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Solution

The fourth proportional to 176,345.84, 264,532.26 and 49,983.96 is: 74,979.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,345.84 : 264,532.26 = 49,983.96 : x
  2. Step 2: Convert to fraction form
    176,345.84/264,532.26 = 49,983.96/x
  3. Step 3: Cross multiply
    176,345.84x = 264,532.26 × 49,983.96
  4. Step 4: Simplify right side
    176,345.84x = 13,222,369,902.55
  5. Step 5: Solve for x
    x = 13,222,369,902.55/176,345.84
  6. Step 6: Final answer
    x = 74,979.77

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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.