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Finding the Fourth Proportional to 208,144.49, 287,238.89 and 112,651.25

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Solution

The fourth proportional to 208,144.49, 287,238.89 and 112,651.25 is: 155,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,144.49 : 287,238.89 = 112,651.25 : x
  2. Step 2: Convert to fraction form
    208,144.49/287,238.89 = 112,651.25/x
  3. Step 3: Cross multiply
    208,144.49x = 287,238.89 × 112,651.25
  4. Step 4: Simplify right side
    208,144.49x = 32,357,818,852.55
  5. Step 5: Solve for x
    x = 32,357,818,852.55/208,144.49
  6. Step 6: Final answer
    x = 155,458.45

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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.