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Finding the Fourth Proportional to 205,625.40, 307,585.08 and 193,028.28

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Solution

The fourth proportional to 205,625.40, 307,585.08 and 193,028.28 is: 288,741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,625.40 : 307,585.08 = 193,028.28 : x
  2. Step 2: Convert to fraction form
    205,625.40/307,585.08 = 193,028.28/x
  3. Step 3: Cross multiply
    205,625.40x = 307,585.08 × 193,028.28
  4. Step 4: Simplify right side
    205,625.40x = 59,372,618,946.06
  5. Step 5: Solve for x
    x = 59,372,618,946.06/205,625.40
  6. Step 6: Final answer
    x = 288,741.66

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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.