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Finding the Fourth Proportional to 121,106.60, 181,692.30 and 86,114.60

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Solution

The fourth proportional to 121,106.60, 181,692.30 and 86,114.60 is: 129,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,106.60 : 181,692.30 = 86,114.60 : x
  2. Step 2: Convert to fraction form
    121,106.60/181,692.30 = 86,114.60/x
  3. Step 3: Cross multiply
    121,106.60x = 181,692.30 × 86,114.60
  4. Step 4: Simplify right side
    121,106.60x = 15,646,359,737.58
  5. Step 5: Solve for x
    x = 15,646,359,737.58/121,106.60
  6. Step 6: Final answer
    x = 129,194.94

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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.