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Finding the Fourth Proportional to 195,744.70, 293,617.05 and 102,432.70

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Solution

The fourth proportional to 195,744.70, 293,617.05 and 102,432.70 is: 153,649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,744.70 : 293,617.05 = 102,432.70 : x
  2. Step 2: Convert to fraction form
    195,744.70/293,617.05 = 102,432.70/x
  3. Step 3: Cross multiply
    195,744.70x = 293,617.05 × 102,432.70
  4. Step 4: Simplify right side
    195,744.70x = 30,075,987,197.54
  5. Step 5: Solve for x
    x = 30,075,987,197.54/195,744.70
  6. Step 6: Final answer
    x = 153,649.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.