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Finding the Fourth Proportional to 146,423.72, 202,075.04 and 82,762

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Solution

The fourth proportional to 146,423.72, 202,075.04 and 82,762 is: 114,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,423.72 : 202,075.04 = 82,762 : x
  2. Step 2: Convert to fraction form
    146,423.72/202,075.04 = 82,762/x
  3. Step 3: Cross multiply
    146,423.72x = 202,075.04 × 82,762
  4. Step 4: Simplify right side
    146,423.72x = 16,724,134,460.48
  5. Step 5: Solve for x
    x = 16,724,134,460.48/146,423.72
  6. Step 6: Final answer
    x = 114,217.39

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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.