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Finding the Fourth Proportional to 184,071.54, 254,039.64 and 102,407.88

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Solution

The fourth proportional to 184,071.54, 254,039.64 and 102,407.88 is: 141,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,071.54 : 254,039.64 = 102,407.88 : x
  2. Step 2: Convert to fraction form
    184,071.54/254,039.64 = 102,407.88/x
  3. Step 3: Cross multiply
    184,071.54x = 254,039.64 × 102,407.88
  4. Step 4: Simplify right side
    184,071.54x = 26,015,660,968.36
  5. Step 5: Solve for x
    x = 26,015,660,968.36/184,071.54
  6. Step 6: Final answer
    x = 141,334.51

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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.