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Finding the Fourth Proportional to 123,205.01, 184,827.47 and 48,284.54

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Solution

The fourth proportional to 123,205.01, 184,827.47 and 48,284.54 is: 72,434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,205.01 : 184,827.47 = 48,284.54 : x
  2. Step 2: Convert to fraction form
    123,205.01/184,827.47 = 48,284.54/x
  3. Step 3: Cross multiply
    123,205.01x = 184,827.47 × 48,284.54
  4. Step 4: Simplify right side
    123,205.01x = 8,924,309,368.31
  5. Step 5: Solve for x
    x = 8,924,309,368.31/123,205.01
  6. Step 6: Final answer
    x = 72,434.63

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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.