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Finding the Fourth Proportional to 102,414.88, 153,643.08 and 43,250.32

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Solution

The fourth proportional to 102,414.88, 153,643.08 and 43,250.32 is: 64,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,414.88 : 153,643.08 = 43,250.32 : x
  2. Step 2: Convert to fraction form
    102,414.88/153,643.08 = 43,250.32/x
  3. Step 3: Cross multiply
    102,414.88x = 153,643.08 × 43,250.32
  4. Step 4: Simplify right side
    102,414.88x = 6,645,112,375.79
  5. Step 5: Solve for x
    x = 6,645,112,375.79/102,414.88
  6. Step 6: Final answer
    x = 64,884.25

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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.