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Finding the Fourth Proportional to 195,702.60, 293,669.10 and 71,027.40

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Solution

The fourth proportional to 195,702.60, 293,669.10 and 71,027.40 is: 106,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,702.60 : 293,669.10 = 71,027.40 : x
  2. Step 2: Convert to fraction form
    195,702.60/293,669.10 = 71,027.40/x
  3. Step 3: Cross multiply
    195,702.60x = 293,669.10 × 71,027.40
  4. Step 4: Simplify right side
    195,702.60x = 20,858,552,633.34
  5. Step 5: Solve for x
    x = 20,858,552,633.34/195,702.60
  6. Step 6: Final answer
    x = 106,582.91

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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.