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Finding the Fourth Proportional to 195,801.48, 293,702.50 and 48,057.48

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Solution

The fourth proportional to 195,801.48, 293,702.50 and 48,057.48 is: 72,086.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,801.48 : 293,702.50 = 48,057.48 : x
  2. Step 2: Convert to fraction form
    195,801.48/293,702.50 = 48,057.48/x
  3. Step 3: Cross multiply
    195,801.48x = 293,702.50 × 48,057.48
  4. Step 4: Simplify right side
    195,801.48x = 14,114,602,019.70
  5. Step 5: Solve for x
    x = 14,114,602,019.70/195,801.48
  6. Step 6: Final answer
    x = 72,086.29

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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.