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Finding the Fourth Proportional to 102,872.16, 154,314.26 and 39,692.62

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Solution

The fourth proportional to 102,872.16, 154,314.26 and 39,692.62 is: 59,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,872.16 : 154,314.26 = 39,692.62 : x
  2. Step 2: Convert to fraction form
    102,872.16/154,314.26 = 39,692.62/x
  3. Step 3: Cross multiply
    102,872.16x = 154,314.26 × 39,692.62
  4. Step 4: Simplify right side
    102,872.16x = 6,125,137,282.76
  5. Step 5: Solve for x
    x = 6,125,137,282.76/102,872.16
  6. Step 6: Final answer
    x = 59,541.25

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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.