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Finding the Fourth Proportional to 136,800.62, 205,273.16 and 97,076.30

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Solution

The fourth proportional to 136,800.62, 205,273.16 and 97,076.30 is: 145,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,800.62 : 205,273.16 = 97,076.30 : x
  2. Step 2: Convert to fraction form
    136,800.62/205,273.16 = 97,076.30/x
  3. Step 3: Cross multiply
    136,800.62x = 205,273.16 × 97,076.30
  4. Step 4: Simplify right side
    136,800.62x = 19,927,158,862.11
  5. Step 5: Solve for x
    x = 19,927,158,862.11/136,800.62
  6. Step 6: Final answer
    x = 145,665.71

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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.