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Finding the Fourth Proportional to 184,157.86, 254,136 and 102,484.73

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Solution

The fourth proportional to 184,157.86, 254,136 and 102,484.73 is: 141,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,157.86 : 254,136 = 102,484.73 : x
  2. Step 2: Convert to fraction form
    184,157.86/254,136 = 102,484.73/x
  3. Step 3: Cross multiply
    184,157.86x = 254,136 × 102,484.73
  4. Step 4: Simplify right side
    184,157.86x = 26,045,059,343.28
  5. Step 5: Solve for x
    x = 26,045,059,343.28/184,157.86
  6. Step 6: Final answer
    x = 141,427.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.