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Finding the Fourth Proportional to 208,548.30, 287,908.32 and 163,129.78

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Solution

The fourth proportional to 208,548.30, 287,908.32 and 163,129.78 is: 225,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,548.30 : 287,908.32 = 163,129.78 : x
  2. Step 2: Convert to fraction form
    208,548.30/287,908.32 = 163,129.78/x
  3. Step 3: Cross multiply
    208,548.30x = 287,908.32 × 163,129.78
  4. Step 4: Simplify right side
    208,548.30x = 46,966,420,901.77
  5. Step 5: Solve for x
    x = 46,966,420,901.77/208,548.30
  6. Step 6: Final answer
    x = 225,206.44

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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.