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Finding the Fourth Proportional to 177,504, 266,294.88 and 66,696

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Solution

The fourth proportional to 177,504, 266,294.88 and 66,696 is: 100,058.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,504 : 266,294.88 = 66,696 : x
  2. Step 2: Convert to fraction form
    177,504/266,294.88 = 66,696/x
  3. Step 3: Cross multiply
    177,504x = 266,294.88 × 66,696
  4. Step 4: Simplify right side
    177,504x = 17,760,803,316.48
  5. Step 5: Solve for x
    x = 17,760,803,316.48/177,504
  6. Step 6: Final answer
    x = 100,058.61

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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.