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Finding the Fourth Proportional to 488,771.42, 733,152.57 and 133,784.87

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Solution

The fourth proportional to 488,771.42, 733,152.57 and 133,784.87 is: 200,676.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,771.42 : 733,152.57 = 133,784.87 : x
  2. Step 2: Convert to fraction form
    488,771.42/733,152.57 = 133,784.87/x
  3. Step 3: Cross multiply
    488,771.42x = 733,152.57 × 133,784.87
  4. Step 4: Simplify right side
    488,771.42x = 98,084,717,100.16
  5. Step 5: Solve for x
    x = 98,084,717,100.16/488,771.42
  6. Step 6: Final answer
    x = 200,676.05

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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.