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Finding the Fourth Proportional to 143,461, 215,226.06 and 44,965

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Solution

The fourth proportional to 143,461, 215,226.06 and 44,965 is: 67,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,461 : 215,226.06 = 44,965 : x
  2. Step 2: Convert to fraction form
    143,461/215,226.06 = 44,965/x
  3. Step 3: Cross multiply
    143,461x = 215,226.06 × 44,965
  4. Step 4: Simplify right side
    143,461x = 9,677,639,787.90
  5. Step 5: Solve for x
    x = 9,677,639,787.90/143,461
  6. Step 6: Final answer
    x = 67,458.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.