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Finding the Fourth Proportional to 208,199.36, 287,314.80 and 112,706.03

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Solution

The fourth proportional to 208,199.36, 287,314.80 and 112,706.03 is: 155,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,199.36 : 287,314.80 = 112,706.03 : x
  2. Step 2: Convert to fraction form
    208,199.36/287,314.80 = 112,706.03/x
  3. Step 3: Cross multiply
    208,199.36x = 287,314.80 × 112,706.03
  4. Step 4: Simplify right side
    208,199.36x = 32,382,110,763.88
  5. Step 5: Solve for x
    x = 32,382,110,763.88/208,199.36
  6. Step 6: Final answer
    x = 155,534.15

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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.