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Finding the Fourth Proportional to 206,678.60, 310,017.90 and 101,702.60

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Solution

The fourth proportional to 206,678.60, 310,017.90 and 101,702.60 is: 152,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,678.60 : 310,017.90 = 101,702.60 : x
  2. Step 2: Convert to fraction form
    206,678.60/310,017.90 = 101,702.60/x
  3. Step 3: Cross multiply
    206,678.60x = 310,017.90 × 101,702.60
  4. Step 4: Simplify right side
    206,678.60x = 31,529,626,476.54
  5. Step 5: Solve for x
    x = 31,529,626,476.54/206,678.60
  6. Step 6: Final answer
    x = 152,553.90

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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.