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Finding the Fourth Proportional to 208,313.60, 287,490.46 and 117,686.19

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Solution

The fourth proportional to 208,313.60, 287,490.46 and 117,686.19 is: 162,416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,313.60 : 287,490.46 = 117,686.19 : x
  2. Step 2: Convert to fraction form
    208,313.60/287,490.46 = 117,686.19/x
  3. Step 3: Cross multiply
    208,313.60x = 287,490.46 × 117,686.19
  4. Step 4: Simplify right side
    208,313.60x = 33,833,656,604.53
  5. Step 5: Solve for x
    x = 33,833,656,604.53/208,313.60
  6. Step 6: Final answer
    x = 162,416.94

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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.