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Finding the Fourth Proportional to 185,780.15, 256,392.41 and 105,222

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Solution

The fourth proportional to 185,780.15, 256,392.41 and 105,222 is: 145,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,780.15 : 256,392.41 = 105,222 : x
  2. Step 2: Convert to fraction form
    185,780.15/256,392.41 = 105,222/x
  3. Step 3: Cross multiply
    185,780.15x = 256,392.41 × 105,222
  4. Step 4: Simplify right side
    185,780.15x = 26,978,122,165.02
  5. Step 5: Solve for x
    x = 26,978,122,165.02/185,780.15
  6. Step 6: Final answer
    x = 145,215.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.