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Finding the Fourth Proportional to 102,181.64, 153,272.52 and 28,309.64

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Solution

The fourth proportional to 102,181.64, 153,272.52 and 28,309.64 is: 42,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,181.64 : 153,272.52 = 28,309.64 : x
  2. Step 2: Convert to fraction form
    102,181.64/153,272.52 = 28,309.64/x
  3. Step 3: Cross multiply
    102,181.64x = 153,272.52 × 28,309.64
  4. Step 4: Simplify right side
    102,181.64x = 4,339,089,863.09
  5. Step 5: Solve for x
    x = 4,339,089,863.09/102,181.64
  6. Step 6: Final answer
    x = 42,464.48

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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.