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Finding the Fourth Proportional to 205,020.66, 282,928.64 and 114,376.63

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Solution

The fourth proportional to 205,020.66, 282,928.64 and 114,376.63 is: 157,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,020.66 : 282,928.64 = 114,376.63 : x
  2. Step 2: Convert to fraction form
    205,020.66/282,928.64 = 114,376.63/x
  3. Step 3: Cross multiply
    205,020.66x = 282,928.64 × 114,376.63
  4. Step 4: Simplify right side
    205,020.66x = 32,360,424,373.68
  5. Step 5: Solve for x
    x = 32,360,424,373.68/205,020.66
  6. Step 6: Final answer
    x = 157,839.82

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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.