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Finding the Fourth Proportional to 123,094.68, 184,673.13 and 34,348.14

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Solution

The fourth proportional to 123,094.68, 184,673.13 and 34,348.14 is: 51,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,094.68 : 184,673.13 = 34,348.14 : x
  2. Step 2: Convert to fraction form
    123,094.68/184,673.13 = 34,348.14/x
  3. Step 3: Cross multiply
    123,094.68x = 184,673.13 × 34,348.14
  4. Step 4: Simplify right side
    123,094.68x = 6,343,178,523.48
  5. Step 5: Solve for x
    x = 6,343,178,523.48/123,094.68
  6. Step 6: Final answer
    x = 51,530.89

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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.