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Finding the Fourth Proportional to 208,637.28, 312,877.35 and 75,484.62

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Solution

The fourth proportional to 208,637.28, 312,877.35 and 75,484.62 is: 113,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,637.28 : 312,877.35 = 75,484.62 : x
  2. Step 2: Convert to fraction form
    208,637.28/312,877.35 = 75,484.62/x
  3. Step 3: Cross multiply
    208,637.28x = 312,877.35 × 75,484.62
  4. Step 4: Simplify right side
    208,637.28x = 23,617,427,871.36
  5. Step 5: Solve for x
    x = 23,617,427,871.36/208,637.28
  6. Step 6: Final answer
    x = 113,198.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.