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Finding the Fourth Proportional to 176,643.06, 264,706.98 and 81,902.22

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Solution

The fourth proportional to 176,643.06, 264,706.98 and 81,902.22 is: 122,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,643.06 : 264,706.98 = 81,902.22 : x
  2. Step 2: Convert to fraction form
    176,643.06/264,706.98 = 81,902.22/x
  3. Step 3: Cross multiply
    176,643.06x = 264,706.98 × 81,902.22
  4. Step 4: Simplify right side
    176,643.06x = 21,680,089,311.50
  5. Step 5: Solve for x
    x = 21,680,089,311.50/176,643.06
  6. Step 6: Final answer
    x = 122,733.89

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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.