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Finding the Fourth Proportional to 123,088.59, 184,664.03 and 34,342.06

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Solution

The fourth proportional to 123,088.59, 184,664.03 and 34,342.06 is: 51,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,088.59 : 184,664.03 = 34,342.06 : x
  2. Step 2: Convert to fraction form
    123,088.59/184,664.03 = 34,342.06/x
  3. Step 3: Cross multiply
    123,088.59x = 184,664.03 × 34,342.06
  4. Step 4: Simplify right side
    123,088.59x = 6,341,743,198.10
  5. Step 5: Solve for x
    x = 6,341,743,198.10/123,088.59
  6. Step 6: Final answer
    x = 51,521.78

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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.