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Finding the Fourth Proportional to 122,790.38, 184,216.21 and 42,829.49

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Solution

The fourth proportional to 122,790.38, 184,216.21 and 42,829.49 is: 64,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,790.38 : 184,216.21 = 42,829.49 : x
  2. Step 2: Convert to fraction form
    122,790.38/184,216.21 = 42,829.49/x
  3. Step 3: Cross multiply
    122,790.38x = 184,216.21 × 42,829.49
  4. Step 4: Simplify right side
    122,790.38x = 7,889,886,677.50
  5. Step 5: Solve for x
    x = 7,889,886,677.50/122,790.38
  6. Step 6: Final answer
    x = 64,254.93

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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.