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Finding the Fourth Proportional to 270,192.18, 405,293.85 and 83,203.50

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Solution

The fourth proportional to 270,192.18, 405,293.85 and 83,203.50 is: 124,806.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,192.18 : 405,293.85 = 83,203.50 : x
  2. Step 2: Convert to fraction form
    270,192.18/405,293.85 = 83,203.50/x
  3. Step 3: Cross multiply
    270,192.18x = 405,293.85 × 83,203.50
  4. Step 4: Simplify right side
    270,192.18x = 33,721,866,848.48
  5. Step 5: Solve for x
    x = 33,721,866,848.48/270,192.18
  6. Step 6: Final answer
    x = 124,806.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.