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Finding the Fourth Proportional to 123,088.84, 184,664.41 and 34,342.31

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Solution

The fourth proportional to 123,088.84, 184,664.41 and 34,342.31 is: 51,522.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,088.84 : 184,664.41 = 34,342.31 : x
  2. Step 2: Convert to fraction form
    123,088.84/184,664.41 = 34,342.31/x
  3. Step 3: Cross multiply
    123,088.84x = 184,664.41 × 34,342.31
  4. Step 4: Simplify right side
    123,088.84x = 6,341,802,789.99
  5. Step 5: Solve for x
    x = 6,341,802,789.99/123,088.84
  6. Step 6: Final answer
    x = 51,522.16

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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.