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Finding the Fourth Proportional to 381,701.80, 572,771.40 and 145,214.20

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Solution

The fourth proportional to 381,701.80, 572,771.40 and 145,214.20 is: 217,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,701.80 : 572,771.40 = 145,214.20 : x
  2. Step 2: Convert to fraction form
    381,701.80/572,771.40 = 145,214.20/x
  3. Step 3: Cross multiply
    381,701.80x = 572,771.40 × 145,214.20
  4. Step 4: Simplify right side
    381,701.80x = 83,174,540,633.88
  5. Step 5: Solve for x
    x = 83,174,540,633.88/381,701.80
  6. Step 6: Final answer
    x = 217,904.50

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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.