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Finding the Fourth Proportional to 214,274.08, 295,692.24 and 129,360.16

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Solution

The fourth proportional to 214,274.08, 295,692.24 and 129,360.16 is: 178,513.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,274.08 : 295,692.24 = 129,360.16 : x
  2. Step 2: Convert to fraction form
    214,274.08/295,692.24 = 129,360.16/x
  3. Step 3: Cross multiply
    214,274.08x = 295,692.24 × 129,360.16
  4. Step 4: Simplify right side
    214,274.08x = 38,250,795,477.16
  5. Step 5: Solve for x
    x = 38,250,795,477.16/214,274.08
  6. Step 6: Final answer
    x = 178,513.40

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