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Finding the Fourth Proportional to 121,106.40, 181,659.60 and 83,781.60

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Solution

The fourth proportional to 121,106.40, 181,659.60 and 83,781.60 is: 125,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,106.40 : 181,659.60 = 83,781.60 : x
  2. Step 2: Convert to fraction form
    121,106.40/181,659.60 = 83,781.60/x
  3. Step 3: Cross multiply
    121,106.40x = 181,659.60 × 83,781.60
  4. Step 4: Simplify right side
    121,106.40x = 15,219,731,943.36
  5. Step 5: Solve for x
    x = 15,219,731,943.36/121,106.40
  6. Step 6: Final answer
    x = 125,672.40

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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.