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Finding the Fourth Proportional to 204,844, 282,684.72 and 110,636

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Solution

The fourth proportional to 204,844, 282,684.72 and 110,636 is: 152,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,844 : 282,684.72 = 110,636 : x
  2. Step 2: Convert to fraction form
    204,844/282,684.72 = 110,636/x
  3. Step 3: Cross multiply
    204,844x = 282,684.72 × 110,636
  4. Step 4: Simplify right side
    204,844x = 31,275,106,681.92
  5. Step 5: Solve for x
    x = 31,275,106,681.92/204,844
  6. Step 6: Final answer
    x = 152,677.68

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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.