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Finding the Fourth Proportional to 176,584, 264,701.04 and 82,922.08

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Solution

The fourth proportional to 176,584, 264,701.04 and 82,922.08 is: 124,300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,584 : 264,701.04 = 82,922.08 : x
  2. Step 2: Convert to fraction form
    176,584/264,701.04 = 82,922.08/x
  3. Step 3: Cross multiply
    176,584x = 264,701.04 × 82,922.08
  4. Step 4: Simplify right side
    176,584x = 21,949,560,814.96
  5. Step 5: Solve for x
    x = 21,949,560,814.96/176,584
  6. Step 6: Final answer
    x = 124,300.96

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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.