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Finding the Fourth Proportional to 208,253.28, 287,357.04 and 123,356.64

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Solution

The fourth proportional to 208,253.28, 287,357.04 and 123,356.64 is: 170,212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,253.28 : 287,357.04 = 123,356.64 : x
  2. Step 2: Convert to fraction form
    208,253.28/287,357.04 = 123,356.64/x
  3. Step 3: Cross multiply
    208,253.28x = 287,357.04 × 123,356.64
  4. Step 4: Simplify right side
    208,253.28x = 35,447,398,934.75
  5. Step 5: Solve for x
    x = 35,447,398,934.75/208,253.28
  6. Step 6: Final answer
    x = 170,212.92

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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.