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Finding the Fourth Proportional to 131,102.98, 180,937.65 and 74,522.86

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Solution

The fourth proportional to 131,102.98, 180,937.65 and 74,522.86 is: 102,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,102.98 : 180,937.65 = 74,522.86 : x
  2. Step 2: Convert to fraction form
    131,102.98/180,937.65 = 74,522.86/x
  3. Step 3: Cross multiply
    131,102.98x = 180,937.65 × 74,522.86
  4. Step 4: Simplify right side
    131,102.98x = 13,483,991,159.68
  5. Step 5: Solve for x
    x = 13,483,991,159.68/131,102.98
  6. Step 6: Final answer
    x = 102,850.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.