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Finding the Fourth Proportional to 256,637.50, 385,021.89 and 106,828.00

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Solution

The fourth proportional to 256,637.50, 385,021.89 and 106,828.00 is: 160,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,637.50 : 385,021.89 = 106,828.00 : x
  2. Step 2: Convert to fraction form
    256,637.50/385,021.89 = 106,828.00/x
  3. Step 3: Cross multiply
    256,637.50x = 385,021.89 × 106,828.00
  4. Step 4: Simplify right side
    256,637.50x = 41,131,117,502.37
  5. Step 5: Solve for x
    x = 41,131,117,502.37/256,637.50
  6. Step 6: Final answer
    x = 160,269.32

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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.