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Finding the Fourth Proportional to 205,812.77, 308,724.48 and 56,056.05

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Solution

The fourth proportional to 205,812.77, 308,724.48 and 56,056.05 is: 84,085.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,812.77 : 308,724.48 = 56,056.05 : x
  2. Step 2: Convert to fraction form
    205,812.77/308,724.48 = 56,056.05/x
  3. Step 3: Cross multiply
    205,812.77x = 308,724.48 × 56,056.05
  4. Step 4: Simplify right side
    205,812.77x = 17,305,874,887.10
  5. Step 5: Solve for x
    x = 17,305,874,887.10/205,812.77
  6. Step 6: Final answer
    x = 84,085.53

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Why These Related Problems?

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