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Finding the Fourth Proportional to 185,905, 256,548.90 and 110,453.50

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Solution

The fourth proportional to 185,905, 256,548.90 and 110,453.50 is: 152,425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,905 : 256,548.90 = 110,453.50 : x
  2. Step 2: Convert to fraction form
    185,905/256,548.90 = 110,453.50/x
  3. Step 3: Cross multiply
    185,905x = 256,548.90 × 110,453.50
  4. Step 4: Simplify right side
    185,905x = 28,336,723,926.15
  5. Step 5: Solve for x
    x = 28,336,723,926.15/185,905
  6. Step 6: Final answer
    x = 152,425.83

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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.