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Finding the Fourth Proportional to 216,018.45, 298,075.83 and 120,506.70

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Solution

The fourth proportional to 216,018.45, 298,075.83 and 120,506.70 is: 166,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,018.45 : 298,075.83 = 120,506.70 : x
  2. Step 2: Convert to fraction form
    216,018.45/298,075.83 = 120,506.70/x
  3. Step 3: Cross multiply
    216,018.45x = 298,075.83 × 120,506.70
  4. Step 4: Simplify right side
    216,018.45x = 35,920,134,623.06
  5. Step 5: Solve for x
    x = 35,920,134,623.06/216,018.45
  6. Step 6: Final answer
    x = 166,282.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.