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Finding the Fourth Proportional to 297,141.40, 445,713.06 and 75,525.40

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Solution

The fourth proportional to 297,141.40, 445,713.06 and 75,525.40 is: 113,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,141.40 : 445,713.06 = 75,525.40 : x
  2. Step 2: Convert to fraction form
    297,141.40/445,713.06 = 75,525.40/x
  3. Step 3: Cross multiply
    297,141.40x = 445,713.06 × 75,525.40
  4. Step 4: Simplify right side
    297,141.40x = 33,662,657,141.72
  5. Step 5: Solve for x
    x = 33,662,657,141.72/297,141.40
  6. Step 6: Final answer
    x = 113,288.34

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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.