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Finding the Fourth Proportional to 488,148.54, 732,200.94 and 133,161.42

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Solution

The fourth proportional to 488,148.54, 732,200.94 and 133,161.42 is: 199,736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,148.54 : 732,200.94 = 133,161.42 : x
  2. Step 2: Convert to fraction form
    488,148.54/732,200.94 = 133,161.42/x
  3. Step 3: Cross multiply
    488,148.54x = 732,200.94 × 133,161.42
  4. Step 4: Simplify right side
    488,148.54x = 97,500,916,895.73
  5. Step 5: Solve for x
    x = 97,500,916,895.73/488,148.54
  6. Step 6: Final answer
    x = 199,736.16

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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.