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Finding the Fourth Proportional to 274,631.80, 411,429.30 and 141,057.40

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Solution

The fourth proportional to 274,631.80, 411,429.30 and 141,057.40 is: 211,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,631.80 : 411,429.30 = 141,057.40 : x
  2. Step 2: Convert to fraction form
    274,631.80/411,429.30 = 141,057.40/x
  3. Step 3: Cross multiply
    274,631.80x = 411,429.30 × 141,057.40
  4. Step 4: Simplify right side
    274,631.80x = 58,035,147,341.82
  5. Step 5: Solve for x
    x = 58,035,147,341.82/274,631.80
  6. Step 6: Final answer
    x = 211,319.84

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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.