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Finding the Fourth Proportional to 208,467.84, 287,684.40 and 112,974.48

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Solution

The fourth proportional to 208,467.84, 287,684.40 and 112,974.48 is: 155,904.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,467.84 : 287,684.40 = 112,974.48 : x
  2. Step 2: Convert to fraction form
    208,467.84/287,684.40 = 112,974.48/x
  3. Step 3: Cross multiply
    208,467.84x = 287,684.40 × 112,974.48
  4. Step 4: Simplify right side
    208,467.84x = 32,500,995,494.11
  5. Step 5: Solve for x
    x = 32,500,995,494.11/208,467.84
  6. Step 6: Final answer
    x = 155,904.12

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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.