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Finding the Fourth Proportional to 208,388.02, 287,576.58 and 112,894.96

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Solution

The fourth proportional to 208,388.02, 287,576.58 and 112,894.96 is: 155,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,388.02 : 287,576.58 = 112,894.96 : x
  2. Step 2: Convert to fraction form
    208,388.02/287,576.58 = 112,894.96/x
  3. Step 3: Cross multiply
    208,388.02x = 287,576.58 × 112,894.96
  4. Step 4: Simplify right side
    208,388.02x = 32,465,946,496.04
  5. Step 5: Solve for x
    x = 32,465,946,496.04/208,388.02
  6. Step 6: Final answer
    x = 155,795.65

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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.