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Finding the Fourth Proportional to 230,307, 345,460.50 and 64,099.32

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Solution

The fourth proportional to 230,307, 345,460.50 and 64,099.32 is: 96,148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,307 : 345,460.50 = 64,099.32 : x
  2. Step 2: Convert to fraction form
    230,307/345,460.50 = 64,099.32/x
  3. Step 3: Cross multiply
    230,307x = 345,460.50 × 64,099.32
  4. Step 4: Simplify right side
    230,307x = 22,143,783,136.86
  5. Step 5: Solve for x
    x = 22,143,783,136.86/230,307
  6. Step 6: Final answer
    x = 96,148.98

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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.