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Finding the Fourth Proportional to 208,331.54, 287,497.38 and 112,838.24

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Solution

The fourth proportional to 208,331.54, 287,497.38 and 112,838.24 is: 155,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,331.54 : 287,497.38 = 112,838.24 : x
  2. Step 2: Convert to fraction form
    208,331.54/287,497.38 = 112,838.24/x
  3. Step 3: Cross multiply
    208,331.54x = 287,497.38 × 112,838.24
  4. Step 4: Simplify right side
    208,331.54x = 32,440,698,363.81
  5. Step 5: Solve for x
    x = 32,440,698,363.81/208,331.54
  6. Step 6: Final answer
    x = 155,716.69

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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.