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Finding the Fourth Proportional to 488,092.50, 732,056.13 and 133,023.33

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Solution

The fourth proportional to 488,092.50, 732,056.13 and 133,023.33 is: 199,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,092.50 : 732,056.13 = 133,023.33 : x
  2. Step 2: Convert to fraction form
    488,092.50/732,056.13 = 133,023.33/x
  3. Step 3: Cross multiply
    488,092.50x = 732,056.13 × 133,023.33
  4. Step 4: Simplify right side
    488,092.50x = 97,380,544,159.51
  5. Step 5: Solve for x
    x = 97,380,544,159.51/488,092.50
  6. Step 6: Final answer
    x = 199,512.48

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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.