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Finding the Fourth Proportional to 114,858.96, 172,112.58 and 77,279.82

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Solution

The fourth proportional to 114,858.96, 172,112.58 and 77,279.82 is: 115,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,858.96 : 172,112.58 = 77,279.82 : x
  2. Step 2: Convert to fraction form
    114,858.96/172,112.58 = 77,279.82/x
  3. Step 3: Cross multiply
    114,858.96x = 172,112.58 × 77,279.82
  4. Step 4: Simplify right side
    114,858.96x = 13,300,829,202.14
  5. Step 5: Solve for x
    x = 13,300,829,202.14/114,858.96
  6. Step 6: Final answer
    x = 115,801.41

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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.