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Finding the Fourth Proportional to 195,813.48, 293,720.50 and 48,069.48

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Solution

The fourth proportional to 195,813.48, 293,720.50 and 48,069.48 is: 72,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,813.48 : 293,720.50 = 48,069.48 : x
  2. Step 2: Convert to fraction form
    195,813.48/293,720.50 = 48,069.48/x
  3. Step 3: Cross multiply
    195,813.48x = 293,720.50 × 48,069.48
  4. Step 4: Simplify right side
    195,813.48x = 14,118,991,700.34
  5. Step 5: Solve for x
    x = 14,118,991,700.34/195,813.48
  6. Step 6: Final answer
    x = 72,104.29

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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.