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Finding the Fourth Proportional to 180,123.98, 270,185.58 and 169,163.00

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Solution

The fourth proportional to 180,123.98, 270,185.58 and 169,163.00 is: 253,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,123.98 : 270,185.58 = 169,163.00 : x
  2. Step 2: Convert to fraction form
    180,123.98/270,185.58 = 169,163.00/x
  3. Step 3: Cross multiply
    180,123.98x = 270,185.58 × 169,163.00
  4. Step 4: Simplify right side
    180,123.98x = 45,705,401,918.61
  5. Step 5: Solve for x
    x = 45,705,401,918.61/180,123.98
  6. Step 6: Final answer
    x = 253,744.13

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1.5x scale

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.