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Finding the Fourth Proportional to 305,249.63, 457,875.25 and 94,887.77

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Solution

The fourth proportional to 305,249.63, 457,875.25 and 94,887.77 is: 142,331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,249.63 : 457,875.25 = 94,887.77 : x
  2. Step 2: Convert to fraction form
    305,249.63/457,875.25 = 94,887.77/x
  3. Step 3: Cross multiply
    305,249.63x = 457,875.25 × 94,887.77
  4. Step 4: Simplify right side
    305,249.63x = 43,446,758,884.10
  5. Step 5: Solve for x
    x = 43,446,758,884.10/305,249.63
  6. Step 6: Final answer
    x = 142,331.90

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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.