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Finding the Fourth Proportional to 121,107.40, 181,661.10 and 83,782.60

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Solution

The fourth proportional to 121,107.40, 181,661.10 and 83,782.60 is: 125,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,107.40 : 181,661.10 = 83,782.60 : x
  2. Step 2: Convert to fraction form
    121,107.40/181,661.10 = 83,782.60/x
  3. Step 3: Cross multiply
    121,107.40x = 181,661.10 × 83,782.60
  4. Step 4: Simplify right side
    121,107.40x = 15,220,039,276.86
  5. Step 5: Solve for x
    x = 15,220,039,276.86/121,107.40
  6. Step 6: Final answer
    x = 125,673.90

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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.