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Finding the Fourth Proportional to 208,440.13, 287,648.37 and 112,946.99

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Solution

The fourth proportional to 208,440.13, 287,648.37 and 112,946.99 is: 155,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,440.13 : 287,648.37 = 112,946.99 : x
  2. Step 2: Convert to fraction form
    208,440.13/287,648.37 = 112,946.99/x
  3. Step 3: Cross multiply
    208,440.13x = 287,648.37 × 112,946.99
  4. Step 4: Simplify right side
    208,440.13x = 32,489,017,569.91
  5. Step 5: Solve for x
    x = 32,489,017,569.91/208,440.13
  6. Step 6: Final answer
    x = 155,867.39

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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.