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Finding the Fourth Proportional to 97,512.94, 134,051.21 and 83,850.95

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Solution

The fourth proportional to 97,512.94, 134,051.21 and 83,850.95 is: 115,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,512.94 : 134,051.21 = 83,850.95 : x
  2. Step 2: Convert to fraction form
    97,512.94/134,051.21 = 83,850.95/x
  3. Step 3: Cross multiply
    97,512.94x = 134,051.21 × 83,850.95
  4. Step 4: Simplify right side
    97,512.94x = 11,240,321,307.15
  5. Step 5: Solve for x
    x = 11,240,321,307.15/97,512.94
  6. Step 6: Final answer
    x = 115,270.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.