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Finding the Fourth Proportional to 166,494, 229,762.68 and 106,878

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Solution

The fourth proportional to 166,494, 229,762.68 and 106,878 is: 147,492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,494 : 229,762.68 = 106,878 : x
  2. Step 2: Convert to fraction form
    166,494/229,762.68 = 106,878/x
  3. Step 3: Cross multiply
    166,494x = 229,762.68 × 106,878
  4. Step 4: Simplify right side
    166,494x = 24,556,575,713.04
  5. Step 5: Solve for x
    x = 24,556,575,713.04/166,494
  6. Step 6: Final answer
    x = 147,492.26

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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.