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Finding the Fourth Proportional to 256,810.89, 384,965.89 and 107,094.03

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Solution

The fourth proportional to 256,810.89, 384,965.89 and 107,094.03 is: 160,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,810.89 : 384,965.89 = 107,094.03 : x
  2. Step 2: Convert to fraction form
    256,810.89/384,965.89 = 107,094.03/x
  3. Step 3: Cross multiply
    256,810.89x = 384,965.89 × 107,094.03
  4. Step 4: Simplify right side
    256,810.89x = 41,227,549,327.91
  5. Step 5: Solve for x
    x = 41,227,549,327.91/256,810.89
  6. Step 6: Final answer
    x = 160,536.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.