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Finding the Fourth Proportional to 123,842.14, 170,954.46 and 83,610.40

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Solution

The fourth proportional to 123,842.14, 170,954.46 and 83,610.40 is: 115,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,842.14 : 170,954.46 = 83,610.40 : x
  2. Step 2: Convert to fraction form
    123,842.14/170,954.46 = 83,610.40/x
  3. Step 3: Cross multiply
    123,842.14x = 170,954.46 × 83,610.40
  4. Step 4: Simplify right side
    123,842.14x = 14,293,570,782.38
  5. Step 5: Solve for x
    x = 14,293,570,782.38/123,842.14
  6. Step 6: Final answer
    x = 115,417.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.