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Finding the Fourth Proportional to 122,744.16, 184,070.84 and 96,500.16

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Solution

The fourth proportional to 122,744.16, 184,070.84 and 96,500.16 is: 144,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,744.16 : 184,070.84 = 96,500.16 : x
  2. Step 2: Convert to fraction form
    122,744.16/184,070.84 = 96,500.16/x
  3. Step 3: Cross multiply
    122,744.16x = 184,070.84 × 96,500.16
  4. Step 4: Simplify right side
    122,744.16x = 17,762,865,511.33
  5. Step 5: Solve for x
    x = 17,762,865,511.33/122,744.16
  6. Step 6: Final answer
    x = 144,714.55

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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.