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Finding the Fourth Proportional to 123,966.25, 185,945.93 and 83,346.81

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Solution

The fourth proportional to 123,966.25, 185,945.93 and 83,346.81 is: 125,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,966.25 : 185,945.93 = 83,346.81 : x
  2. Step 2: Convert to fraction form
    123,966.25/185,945.93 = 83,346.81/x
  3. Step 3: Cross multiply
    123,966.25x = 185,945.93 × 83,346.81
  4. Step 4: Simplify right side
    123,966.25x = 15,497,999,296.50
  5. Step 5: Solve for x
    x = 15,497,999,296.50/123,966.25
  6. Step 6: Final answer
    x = 125,017.89

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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.