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Finding the Fourth Proportional to 274,133.40, 411,200.10 and 96,840.60

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Solution

The fourth proportional to 274,133.40, 411,200.10 and 96,840.60 is: 145,260.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,133.40 : 411,200.10 = 96,840.60 : x
  2. Step 2: Convert to fraction form
    274,133.40/411,200.10 = 96,840.60/x
  3. Step 3: Cross multiply
    274,133.40x = 411,200.10 × 96,840.60
  4. Step 4: Simplify right side
    274,133.40x = 39,820,864,404.06
  5. Step 5: Solve for x
    x = 39,820,864,404.06/274,133.40
  6. Step 6: Final answer
    x = 145,260.90

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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.