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Finding the Fourth Proportional to 123,168.60, 184,461.30 and 75,929.40

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Solution

The fourth proportional to 123,168.60, 184,461.30 and 75,929.40 is: 113,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,168.60 : 184,461.30 = 75,929.40 : x
  2. Step 2: Convert to fraction form
    123,168.60/184,461.30 = 75,929.40/x
  3. Step 3: Cross multiply
    123,168.60x = 184,461.30 × 75,929.40
  4. Step 4: Simplify right side
    123,168.60x = 14,006,035,832.22
  5. Step 5: Solve for x
    x = 14,006,035,832.22/123,168.60
  6. Step 6: Final answer
    x = 113,714.34

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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.