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Finding the Fourth Proportional to 274,222.01, 411,307.09 and 87,200.57

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Solution

The fourth proportional to 274,222.01, 411,307.09 and 87,200.57 is: 130,792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,222.01 : 411,307.09 = 87,200.57 : x
  2. Step 2: Convert to fraction form
    274,222.01/411,307.09 = 87,200.57/x
  3. Step 3: Cross multiply
    274,222.01x = 411,307.09 × 87,200.57
  4. Step 4: Simplify right side
    274,222.01x = 35,866,212,693.04
  5. Step 5: Solve for x
    x = 35,866,212,693.04/274,222.01
  6. Step 6: Final answer
    x = 130,792.61

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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.