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Finding the Fourth Proportional to 176,182.84, 264,274.38 and 51,523.96

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Solution

The fourth proportional to 176,182.84, 264,274.38 and 51,523.96 is: 77,285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,182.84 : 264,274.38 = 51,523.96 : x
  2. Step 2: Convert to fraction form
    176,182.84/264,274.38 = 51,523.96/x
  3. Step 3: Cross multiply
    176,182.84x = 264,274.38 × 51,523.96
  4. Step 4: Simplify right side
    176,182.84x = 13,616,462,584.14
  5. Step 5: Solve for x
    x = 13,616,462,584.14/176,182.84
  6. Step 6: Final answer
    x = 77,285.98

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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.