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Finding the Fourth Proportional to 255,037.54, 382,577.72 and 77,546.08

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Solution

The fourth proportional to 255,037.54, 382,577.72 and 77,546.08 is: 116,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,037.54 : 382,577.72 = 77,546.08 : x
  2. Step 2: Convert to fraction form
    255,037.54/382,577.72 = 77,546.08/x
  3. Step 3: Cross multiply
    255,037.54x = 382,577.72 × 77,546.08
  4. Step 4: Simplify right side
    255,037.54x = 29,667,402,481.34
  5. Step 5: Solve for x
    x = 29,667,402,481.34/255,037.54
  6. Step 6: Final answer
    x = 116,325.63

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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.