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Finding the Fourth Proportional to 82,145.40, 123,477.30 and 75,924.60

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Solution

The fourth proportional to 82,145.40, 123,477.30 and 75,924.60 is: 114,126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,145.40 : 123,477.30 = 75,924.60 : x
  2. Step 2: Convert to fraction form
    82,145.40/123,477.30 = 75,924.60/x
  3. Step 3: Cross multiply
    82,145.40x = 123,477.30 × 75,924.60
  4. Step 4: Simplify right side
    82,145.40x = 9,374,964,611.58
  5. Step 5: Solve for x
    x = 9,374,964,611.58/82,145.40
  6. Step 6: Final answer
    x = 114,126.47

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1.5x scale

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.