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Finding the Fourth Proportional to 230,692.44, 318,355.72 and 135,199.10

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Solution

The fourth proportional to 230,692.44, 318,355.72 and 135,199.10 is: 186,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,692.44 : 318,355.72 = 135,199.10 : x
  2. Step 2: Convert to fraction form
    230,692.44/318,355.72 = 135,199.10/x
  3. Step 3: Cross multiply
    230,692.44x = 318,355.72 × 135,199.10
  4. Step 4: Simplify right side
    230,692.44x = 43,041,406,823.85
  5. Step 5: Solve for x
    x = 43,041,406,823.85/230,692.44
  6. Step 6: Final answer
    x = 186,574.85

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Why These Related Problems?

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