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Finding the Fourth Proportional to 117,302.36, 175,978.14 and 50,751.95

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Solution

The fourth proportional to 117,302.36, 175,978.14 and 50,751.95 is: 76,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,302.36 : 175,978.14 = 50,751.95 : x
  2. Step 2: Convert to fraction form
    117,302.36/175,978.14 = 50,751.95/x
  3. Step 3: Cross multiply
    117,302.36x = 175,978.14 × 50,751.95
  4. Step 4: Simplify right side
    117,302.36x = 8,931,232,692.16
  5. Step 5: Solve for x
    x = 8,931,232,692.16/117,302.36
  6. Step 6: Final answer
    x = 76,138.56

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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.