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Finding the Fourth Proportional to 488,144.70, 732,195.63 and 133,157.54

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Solution

The fourth proportional to 488,144.70, 732,195.63 and 133,157.54 is: 199,730.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,144.70 : 732,195.63 = 133,157.54 : x
  2. Step 2: Convert to fraction form
    488,144.70/732,195.63 = 133,157.54/x
  3. Step 3: Cross multiply
    488,144.70x = 732,195.63 × 133,157.54
  4. Step 4: Simplify right side
    488,144.70x = 97,497,368,223.76
  5. Step 5: Solve for x
    x = 97,497,368,223.76/488,144.70
  6. Step 6: Final answer
    x = 199,730.47

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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.