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Finding the Fourth Proportional to 230,140.53, 317,692.13 and 154,732.77

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Solution

The fourth proportional to 230,140.53, 317,692.13 and 154,732.77 is: 213,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,140.53 : 317,692.13 = 154,732.77 : x
  2. Step 2: Convert to fraction form
    230,140.53/317,692.13 = 154,732.77/x
  3. Step 3: Cross multiply
    230,140.53x = 317,692.13 × 154,732.77
  4. Step 4: Simplify right side
    230,140.53x = 49,157,382,508.44
  5. Step 5: Solve for x
    x = 49,157,382,508.44/230,140.53
  6. Step 6: Final answer
    x = 213,597.24

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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.