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Finding the Fourth Proportional to 122,187.60, 183,281.40 and 75,466.80

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Solution

The fourth proportional to 122,187.60, 183,281.40 and 75,466.80 is: 113,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,187.60 : 183,281.40 = 75,466.80 : x
  2. Step 2: Convert to fraction form
    122,187.60/183,281.40 = 75,466.80/x
  3. Step 3: Cross multiply
    122,187.60x = 183,281.40 × 75,466.80
  4. Step 4: Simplify right side
    122,187.60x = 13,831,660,757.52
  5. Step 5: Solve for x
    x = 13,831,660,757.52/122,187.60
  6. Step 6: Final answer
    x = 113,200.20

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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.