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Finding the Fourth Proportional to 101,584.94, 140,224.83 and 61,300.40

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Solution

The fourth proportional to 101,584.94, 140,224.83 and 61,300.40 is: 84,617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,584.94 : 140,224.83 = 61,300.40 : x
  2. Step 2: Convert to fraction form
    101,584.94/140,224.83 = 61,300.40/x
  3. Step 3: Cross multiply
    101,584.94x = 140,224.83 × 61,300.40
  4. Step 4: Simplify right side
    101,584.94x = 8,595,838,168.93
  5. Step 5: Solve for x
    x = 8,595,838,168.93/101,584.94
  6. Step 6: Final answer
    x = 84,617.25

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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.