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Finding the Fourth Proportional to 140,198.40, 210,346.20 and 61,369.20

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Solution

The fourth proportional to 140,198.40, 210,346.20 and 61,369.20 is: 92,075.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,198.40 : 210,346.20 = 61,369.20 : x
  2. Step 2: Convert to fraction form
    140,198.40/210,346.20 = 61,369.20/x
  3. Step 3: Cross multiply
    140,198.40x = 210,346.20 × 61,369.20
  4. Step 4: Simplify right side
    140,198.40x = 12,908,778,017.04
  5. Step 5: Solve for x
    x = 12,908,778,017.04/140,198.40
  6. Step 6: Final answer
    x = 92,075.07

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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.