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Finding the Fourth Proportional to 208,305.28, 287,440.74 and 116,407.60

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Solution

The fourth proportional to 208,305.28, 287,440.74 and 116,407.60 is: 160,631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,305.28 : 287,440.74 = 116,407.60 : x
  2. Step 2: Convert to fraction form
    208,305.28/287,440.74 = 116,407.60/x
  3. Step 3: Cross multiply
    208,305.28x = 287,440.74 × 116,407.60
  4. Step 4: Simplify right side
    208,305.28x = 33,460,286,685.62
  5. Step 5: Solve for x
    x = 33,460,286,685.62/208,305.28
  6. Step 6: Final answer
    x = 160,631.01

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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.