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Finding the Fourth Proportional to 122,977.92, 184,486.29 and 43,038.21

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Solution

The fourth proportional to 122,977.92, 184,486.29 and 43,038.21 is: 64,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,977.92 : 184,486.29 = 43,038.21 : x
  2. Step 2: Convert to fraction form
    122,977.92/184,486.29 = 43,038.21/x
  3. Step 3: Cross multiply
    122,977.92x = 184,486.29 × 43,038.21
  4. Step 4: Simplify right side
    122,977.92x = 7,939,959,691.14
  5. Step 5: Solve for x
    x = 7,939,959,691.14/122,977.92
  6. Step 6: Final answer
    x = 64,564.11

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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.