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Finding the Fourth Proportional to 277,042.72, 415,564.16 and 66,680.66

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Solution

The fourth proportional to 277,042.72, 415,564.16 and 66,680.66 is: 100,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,042.72 : 415,564.16 = 66,680.66 : x
  2. Step 2: Convert to fraction form
    277,042.72/415,564.16 = 66,680.66/x
  3. Step 3: Cross multiply
    277,042.72x = 415,564.16 × 66,680.66
  4. Step 4: Simplify right side
    277,042.72x = 27,710,092,461.15
  5. Step 5: Solve for x
    x = 27,710,092,461.15/277,042.72
  6. Step 6: Final answer
    x = 100,021.01

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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.