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Finding the Fourth Proportional to 146,479.72, 202,150.02 and 82,823.08

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Solution

The fourth proportional to 146,479.72, 202,150.02 and 82,823.08 is: 114,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,479.72 : 202,150.02 = 82,823.08 : x
  2. Step 2: Convert to fraction form
    146,479.72/202,150.02 = 82,823.08/x
  3. Step 3: Cross multiply
    146,479.72x = 202,150.02 × 82,823.08
  4. Step 4: Simplify right side
    146,479.72x = 16,742,687,278.46
  5. Step 5: Solve for x
    x = 16,742,687,278.46/146,479.72
  6. Step 6: Final answer
    x = 114,300.38

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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.