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Finding the Fourth Proportional to 306,741.76, 423,218.64 and 184,202.56

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Solution

The fourth proportional to 306,741.76, 423,218.64 and 184,202.56 is: 254,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,741.76 : 423,218.64 = 184,202.56 : x
  2. Step 2: Convert to fraction form
    306,741.76/423,218.64 = 184,202.56/x
  3. Step 3: Cross multiply
    306,741.76x = 423,218.64 × 184,202.56
  4. Step 4: Simplify right side
    306,741.76x = 77,957,956,927.72
  5. Step 5: Solve for x
    x = 77,957,956,927.72/306,741.76
  6. Step 6: Final answer
    x = 254,148.50

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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.