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Finding the Fourth Proportional to 208,294.44, 287,445.74 and 112,801.11

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Solution

The fourth proportional to 208,294.44, 287,445.74 and 112,801.11 is: 155,665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,294.44 : 287,445.74 = 112,801.11 : x
  2. Step 2: Convert to fraction form
    208,294.44/287,445.74 = 112,801.11/x
  3. Step 3: Cross multiply
    208,294.44x = 287,445.74 × 112,801.11
  4. Step 4: Simplify right side
    208,294.44x = 32,424,197,972.77
  5. Step 5: Solve for x
    x = 32,424,197,972.77/208,294.44
  6. Step 6: Final answer
    x = 155,665.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.