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Finding the Fourth Proportional to 182,712.80, 274,069.20 and 141,189.60

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Solution

The fourth proportional to 182,712.80, 274,069.20 and 141,189.60 is: 211,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,712.80 : 274,069.20 = 141,189.60 : x
  2. Step 2: Convert to fraction form
    182,712.80/274,069.20 = 141,189.60/x
  3. Step 3: Cross multiply
    182,712.80x = 274,069.20 × 141,189.60
  4. Step 4: Simplify right side
    182,712.80x = 38,695,720,720.32
  5. Step 5: Solve for x
    x = 38,695,720,720.32/182,712.80
  6. Step 6: Final answer
    x = 211,784.40

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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.