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Finding the Fourth Proportional to 102,606.48, 153,872.82 and 43,446.42

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Solution

The fourth proportional to 102,606.48, 153,872.82 and 43,446.42 is: 65,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,606.48 : 153,872.82 = 43,446.42 : x
  2. Step 2: Convert to fraction form
    102,606.48/153,872.82 = 43,446.42/x
  3. Step 3: Cross multiply
    102,606.48x = 153,872.82 × 43,446.42
  4. Step 4: Simplify right side
    102,606.48x = 6,685,223,164.30
  5. Step 5: Solve for x
    x = 6,685,223,164.30/102,606.48
  6. Step 6: Final answer
    x = 65,154.01

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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.