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Finding the Fourth Proportional to 192,090.78, 288,062.28 and 132,746.58

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Solution

The fourth proportional to 192,090.78, 288,062.28 and 132,746.58 is: 199,068.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,090.78 : 288,062.28 = 132,746.58 : x
  2. Step 2: Convert to fraction form
    192,090.78/288,062.28 = 132,746.58/x
  3. Step 3: Cross multiply
    192,090.78x = 288,062.28 × 132,746.58
  4. Step 4: Simplify right side
    192,090.78x = 38,239,282,497.00
  5. Step 5: Solve for x
    x = 38,239,282,497.00/192,090.78
  6. Step 6: Final answer
    x = 199,068.81

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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.