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Finding the Fourth Proportional to 122,898.96, 184,406.16 and 63,702.48

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Solution

The fourth proportional to 122,898.96, 184,406.16 and 63,702.48 is: 95,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,898.96 : 184,406.16 = 63,702.48 : x
  2. Step 2: Convert to fraction form
    122,898.96/184,406.16 = 63,702.48/x
  3. Step 3: Cross multiply
    122,898.96x = 184,406.16 × 63,702.48
  4. Step 4: Simplify right side
    122,898.96x = 11,747,129,719.28
  5. Step 5: Solve for x
    x = 11,747,129,719.28/122,898.96
  6. Step 6: Final answer
    x = 95,583.64

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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.