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Finding the Fourth Proportional to 123,167.94, 184,752.45 and 34,421.64

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Solution

The fourth proportional to 123,167.94, 184,752.45 and 34,421.64 is: 51,632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,167.94 : 184,752.45 = 34,421.64 : x
  2. Step 2: Convert to fraction form
    123,167.94/184,752.45 = 34,421.64/x
  3. Step 3: Cross multiply
    123,167.94x = 184,752.45 × 34,421.64
  4. Step 4: Simplify right side
    123,167.94x = 6,359,482,323.02
  5. Step 5: Solve for x
    x = 6,359,482,323.02/123,167.94
  6. Step 6: Final answer
    x = 51,632.61

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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.