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Finding the Fourth Proportional to 133,810.65, 200,728.53 and 48,442.86

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Solution

The fourth proportional to 133,810.65, 200,728.53 and 48,442.86 is: 72,668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,810.65 : 200,728.53 = 48,442.86 : x
  2. Step 2: Convert to fraction form
    133,810.65/200,728.53 = 48,442.86/x
  3. Step 3: Cross multiply
    133,810.65x = 200,728.53 × 48,442.86
  4. Step 4: Simplify right side
    133,810.65x = 9,723,864,076.80
  5. Step 5: Solve for x
    x = 9,723,864,076.80/133,810.65
  6. Step 6: Final answer
    x = 72,668.84

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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.