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Finding the Fourth Proportional to 205,204.84, 282,551.06 and 174,922.28

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Solution

The fourth proportional to 205,204.84, 282,551.06 and 174,922.28 is: 240,854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,204.84 : 282,551.06 = 174,922.28 : x
  2. Step 2: Convert to fraction form
    205,204.84/282,551.06 = 174,922.28/x
  3. Step 3: Cross multiply
    205,204.84x = 282,551.06 × 174,922.28
  4. Step 4: Simplify right side
    205,204.84x = 49,424,475,631.62
  5. Step 5: Solve for x
    x = 49,424,475,631.62/205,204.84
  6. Step 6: Final answer
    x = 240,854.34

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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.