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Finding the Fourth Proportional to 123,548.90, 184,880.48 and 106,966.17

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Solution

The fourth proportional to 123,548.90, 184,880.48 and 106,966.17 is: 160,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,548.90 : 184,880.48 = 106,966.17 : x
  2. Step 2: Convert to fraction form
    123,548.90/184,880.48 = 106,966.17/x
  3. Step 3: Cross multiply
    123,548.90x = 184,880.48 × 106,966.17
  4. Step 4: Simplify right side
    123,548.90x = 19,775,956,318.53
  5. Step 5: Solve for x
    x = 19,775,956,318.53/123,548.90
  6. Step 6: Final answer
    x = 160,065.83

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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.