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Finding the Fourth Proportional to 122,048.17, 183,002.09 and 65,051.86

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Solution

The fourth proportional to 122,048.17, 183,002.09 and 65,051.86 is: 97,540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,048.17 : 183,002.09 = 65,051.86 : x
  2. Step 2: Convert to fraction form
    122,048.17/183,002.09 = 65,051.86/x
  3. Step 3: Cross multiply
    122,048.17x = 183,002.09 × 65,051.86
  4. Step 4: Simplify right side
    122,048.17x = 11,904,625,898.75
  5. Step 5: Solve for x
    x = 11,904,625,898.75/122,048.17
  6. Step 6: Final answer
    x = 97,540.39

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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.