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Finding the Fourth Proportional to 214,114.56, 295,474.08 and 118,619.16

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Solution

The fourth proportional to 214,114.56, 295,474.08 and 118,619.16 is: 163,692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,114.56 : 295,474.08 = 118,619.16 : x
  2. Step 2: Convert to fraction form
    214,114.56/295,474.08 = 118,619.16/x
  3. Step 3: Cross multiply
    214,114.56x = 295,474.08 × 118,619.16
  4. Step 4: Simplify right side
    214,114.56x = 35,048,887,171.37
  5. Step 5: Solve for x
    x = 35,048,887,171.37/214,114.56
  6. Step 6: Final answer
    x = 163,692.22

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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.