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Finding the Fourth Proportional to 208,098.41, 287,143.31 and 118,657.13

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Solution

The fourth proportional to 208,098.41, 287,143.31 and 118,657.13 is: 163,728.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,098.41 : 287,143.31 = 118,657.13 : x
  2. Step 2: Convert to fraction form
    208,098.41/287,143.31 = 118,657.13/x
  3. Step 3: Cross multiply
    208,098.41x = 287,143.31 × 118,657.13
  4. Step 4: Simplify right side
    208,098.41x = 34,071,599,924.23
  5. Step 5: Solve for x
    x = 34,071,599,924.23/208,098.41
  6. Step 6: Final answer
    x = 163,728.31

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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.