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Finding the Fourth Proportional to 488,097, 732,062.88 and 133,027.83

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Solution

The fourth proportional to 488,097, 732,062.88 and 133,027.83 is: 199,519.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,097 : 732,062.88 = 133,027.83 : x
  2. Step 2: Convert to fraction form
    488,097/732,062.88 = 133,027.83/x
  3. Step 3: Cross multiply
    488,097x = 732,062.88 × 133,027.83
  4. Step 4: Simplify right side
    488,097x = 97,384,736,349.95
  5. Step 5: Solve for x
    x = 97,384,736,349.95/488,097
  6. Step 6: Final answer
    x = 199,519.23

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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.