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Finding the Fourth Proportional to 208,702.68, 313,103.16 and 166,168.98

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Solution

The fourth proportional to 208,702.68, 313,103.16 and 166,168.98 is: 249,292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,702.68 : 313,103.16 = 166,168.98 : x
  2. Step 2: Convert to fraction form
    208,702.68/313,103.16 = 166,168.98/x
  3. Step 3: Cross multiply
    208,702.68x = 313,103.16 × 166,168.98
  4. Step 4: Simplify right side
    208,702.68x = 52,028,032,731.98
  5. Step 5: Solve for x
    x = 52,028,032,731.98/208,702.68
  6. Step 6: Final answer
    x = 249,292.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.