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Finding the Fourth Proportional to 154,812, 232,257.02 and 44,004

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Solution

The fourth proportional to 154,812, 232,257.02 and 44,004 is: 66,017.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,812 : 232,257.02 = 44,004 : x
  2. Step 2: Convert to fraction form
    154,812/232,257.02 = 44,004/x
  3. Step 3: Cross multiply
    154,812x = 232,257.02 × 44,004
  4. Step 4: Simplify right side
    154,812x = 10,220,237,688.06
  5. Step 5: Solve for x
    x = 10,220,237,688.06/154,812
  6. Step 6: Final answer
    x = 66,017.09

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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.