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Finding the Fourth Proportional to 205,365.48, 283,247.46 and 141,809.64

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Solution

The fourth proportional to 205,365.48, 283,247.46 and 141,809.64 is: 195,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,365.48 : 283,247.46 = 141,809.64 : x
  2. Step 2: Convert to fraction form
    205,365.48/283,247.46 = 141,809.64/x
  3. Step 3: Cross multiply
    205,365.48x = 283,247.46 × 141,809.64
  4. Step 4: Simplify right side
    205,365.48x = 40,167,220,333.51
  5. Step 5: Solve for x
    x = 40,167,220,333.51/205,365.48
  6. Step 6: Final answer
    x = 195,588.96

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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.