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Finding the Fourth Proportional to 195,499.50, 293,252.13 and 47,755.50

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Solution

The fourth proportional to 195,499.50, 293,252.13 and 47,755.50 is: 71,633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,499.50 : 293,252.13 = 47,755.50 : x
  2. Step 2: Convert to fraction form
    195,499.50/293,252.13 = 47,755.50/x
  3. Step 3: Cross multiply
    195,499.50x = 293,252.13 × 47,755.50
  4. Step 4: Simplify right side
    195,499.50x = 14,004,402,094.22
  5. Step 5: Solve for x
    x = 14,004,402,094.22/195,499.50
  6. Step 6: Final answer
    x = 71,633.95

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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.