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Finding the Fourth Proportional to 122,872, 184,287.40 and 34,134.48

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Solution

The fourth proportional to 122,872, 184,287.40 and 34,134.48 is: 51,196.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,872 : 184,287.40 = 34,134.48 : x
  2. Step 2: Convert to fraction form
    122,872/184,287.40 = 34,134.48/x
  3. Step 3: Cross multiply
    122,872x = 184,287.40 × 34,134.48
  4. Step 4: Simplify right side
    122,872x = 6,290,554,569.55
  5. Step 5: Solve for x
    x = 6,290,554,569.55/122,872
  6. Step 6: Final answer
    x = 51,196.00

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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.