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Finding the Fourth Proportional to 122,698.32, 184,042.20 and 38,456.76

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Solution

The fourth proportional to 122,698.32, 184,042.20 and 38,456.76 is: 57,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,698.32 : 184,042.20 = 38,456.76 : x
  2. Step 2: Convert to fraction form
    122,698.32/184,042.20 = 38,456.76/x
  3. Step 3: Cross multiply
    122,698.32x = 184,042.20 × 38,456.76
  4. Step 4: Simplify right side
    122,698.32x = 7,077,666,715.27
  5. Step 5: Solve for x
    x = 7,077,666,715.27/122,698.32
  6. Step 6: Final answer
    x = 57,683.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.