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Finding the Fourth Proportional to 123,406.60, 185,304.30 and 70,918.60

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Solution

The fourth proportional to 123,406.60, 185,304.30 and 70,918.60 is: 106,489.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,406.60 : 185,304.30 = 70,918.60 : x
  2. Step 2: Convert to fraction form
    123,406.60/185,304.30 = 70,918.60/x
  3. Step 3: Cross multiply
    123,406.60x = 185,304.30 × 70,918.60
  4. Step 4: Simplify right side
    123,406.60x = 13,141,521,529.98
  5. Step 5: Solve for x
    x = 13,141,521,529.98/123,406.60
  6. Step 6: Final answer
    x = 106,489.62

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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.