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Finding the Fourth Proportional to 214,992.32, 296,692.72 and 118,200.37

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Solution

The fourth proportional to 214,992.32, 296,692.72 and 118,200.37 is: 163,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,992.32 : 296,692.72 = 118,200.37 : x
  2. Step 2: Convert to fraction form
    214,992.32/296,692.72 = 118,200.37/x
  3. Step 3: Cross multiply
    214,992.32x = 296,692.72 × 118,200.37
  4. Step 4: Simplify right side
    214,992.32x = 35,069,189,280.31
  5. Step 5: Solve for x
    x = 35,069,189,280.31/214,992.32
  6. Step 6: Final answer
    x = 163,118.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.