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Finding the Fourth Proportional to 208,199.30, 287,314.71 and 112,705.97

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Solution

The fourth proportional to 208,199.30, 287,314.71 and 112,705.97 is: 155,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,199.30 : 287,314.71 = 112,705.97 : x
  2. Step 2: Convert to fraction form
    208,199.30/287,314.71 = 112,705.97/x
  3. Step 3: Cross multiply
    208,199.30x = 287,314.71 × 112,705.97
  4. Step 4: Simplify right side
    208,199.30x = 32,382,083,085.82
  5. Step 5: Solve for x
    x = 32,382,083,085.82/208,199.30
  6. Step 6: Final answer
    x = 155,534.06

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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.