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Finding the Fourth Proportional to 123,095.84, 184,640 and 48,194.88

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Solution

The fourth proportional to 123,095.84, 184,640 and 48,194.88 is: 72,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,095.84 : 184,640 = 48,194.88 : x
  2. Step 2: Convert to fraction form
    123,095.84/184,640 = 48,194.88/x
  3. Step 3: Cross multiply
    123,095.84x = 184,640 × 48,194.88
  4. Step 4: Simplify right side
    123,095.84x = 8,898,702,643.20
  5. Step 5: Solve for x
    x = 8,898,702,643.20/123,095.84
  6. Step 6: Final answer
    x = 72,290.85

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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.