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Finding the Fourth Proportional to 235,907.21, 353,606.27 and 115,824.50

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Solution

The fourth proportional to 235,907.21, 353,606.27 and 115,824.50 is: 173,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,907.21 : 353,606.27 = 115,824.50 : x
  2. Step 2: Convert to fraction form
    235,907.21/353,606.27 = 115,824.50/x
  3. Step 3: Cross multiply
    235,907.21x = 353,606.27 × 115,824.50
  4. Step 4: Simplify right side
    235,907.21x = 40,956,267,072.46
  5. Step 5: Solve for x
    x = 40,956,267,072.46/235,907.21
  6. Step 6: Final answer
    x = 173,611.77

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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.