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Finding the Fourth Proportional to 305,781.51, 458,677.05 and 92,551.75

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Solution

The fourth proportional to 305,781.51, 458,677.05 and 92,551.75 is: 138,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,781.51 : 458,677.05 = 92,551.75 : x
  2. Step 2: Convert to fraction form
    305,781.51/458,677.05 = 92,551.75/x
  3. Step 3: Cross multiply
    305,781.51x = 458,677.05 × 92,551.75
  4. Step 4: Simplify right side
    305,781.51x = 42,451,362,168.58
  5. Step 5: Solve for x
    x = 42,451,362,168.58/305,781.51
  6. Step 6: Final answer
    x = 138,829.07

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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.