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Finding the Fourth Proportional to 156,466.65, 234,742.10 and 80,523.82

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Solution

The fourth proportional to 156,466.65, 234,742.10 and 80,523.82 is: 120,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,466.65 : 234,742.10 = 80,523.82 : x
  2. Step 2: Convert to fraction form
    156,466.65/234,742.10 = 80,523.82/x
  3. Step 3: Cross multiply
    156,466.65x = 234,742.10 × 80,523.82
  4. Step 4: Simplify right side
    156,466.65x = 18,902,329,030.49
  5. Step 5: Solve for x
    x = 18,902,329,030.49/156,466.65
  6. Step 6: Final answer
    x = 120,807.40

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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.