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Finding the Fourth Proportional to 274,178.96, 411,137.60 and 160,358.88

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Solution

The fourth proportional to 274,178.96, 411,137.60 and 160,358.88 is: 240,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,178.96 : 411,137.60 = 160,358.88 : x
  2. Step 2: Convert to fraction form
    274,178.96/411,137.60 = 160,358.88/x
  3. Step 3: Cross multiply
    274,178.96x = 411,137.60 × 160,358.88
  4. Step 4: Simplify right side
    274,178.96x = 65,929,565,061.89
  5. Step 5: Solve for x
    x = 65,929,565,061.89/274,178.96
  6. Step 6: Final answer
    x = 240,461.80

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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.