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Finding the Fourth Proportional to 185,780.98, 256,380.69 and 105,206.32

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Solution

The fourth proportional to 185,780.98, 256,380.69 and 105,206.32 is: 145,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,780.98 : 256,380.69 = 105,206.32 : x
  2. Step 2: Convert to fraction form
    185,780.98/256,380.69 = 105,206.32/x
  3. Step 3: Cross multiply
    185,780.98x = 256,380.69 × 105,206.32
  4. Step 4: Simplify right side
    185,780.98x = 26,972,868,913.96
  5. Step 5: Solve for x
    x = 26,972,868,913.96/185,780.98
  6. Step 6: Final answer
    x = 145,186.39

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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.