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Finding the Fourth Proportional to 208,637.71, 287,917.50 and 113,143.30

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Solution

The fourth proportional to 208,637.71, 287,917.50 and 113,143.30 is: 156,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,637.71 : 287,917.50 = 113,143.30 : x
  2. Step 2: Convert to fraction form
    208,637.71/287,917.50 = 113,143.30/x
  3. Step 3: Cross multiply
    208,637.71x = 287,917.50 × 113,143.30
  4. Step 4: Simplify right side
    208,637.71x = 32,575,934,638.16
  5. Step 5: Solve for x
    x = 32,575,934,638.16/208,637.71
  6. Step 6: Final answer
    x = 156,136.37

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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.