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Finding the Fourth Proportional to 137,192.00, 205,600.95 and 83,902.50

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Solution

The fourth proportional to 137,192.00, 205,600.95 and 83,902.50 is: 125,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,192.00 : 205,600.95 = 83,902.50 : x
  2. Step 2: Convert to fraction form
    137,192.00/205,600.95 = 83,902.50/x
  3. Step 3: Cross multiply
    137,192.00x = 205,600.95 × 83,902.50
  4. Step 4: Simplify right side
    137,192.00x = 17,250,433,707.38
  5. Step 5: Solve for x
    x = 17,250,433,707.38/137,192.00
  6. Step 6: Final answer
    x = 125,739.36

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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.