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Finding the Fourth Proportional to 205,277.76, 283,272.48 and 115,848

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Solution

The fourth proportional to 205,277.76, 283,272.48 and 115,848 is: 159,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,277.76 : 283,272.48 = 115,848 : x
  2. Step 2: Convert to fraction form
    205,277.76/283,272.48 = 115,848/x
  3. Step 3: Cross multiply
    205,277.76x = 283,272.48 × 115,848
  4. Step 4: Simplify right side
    205,277.76x = 32,816,550,263.04
  5. Step 5: Solve for x
    x = 32,816,550,263.04/205,277.76
  6. Step 6: Final answer
    x = 159,864.13

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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.