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Finding the Fourth Proportional to 351,330, 527,009.58 and 102,012

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Solution

The fourth proportional to 351,330, 527,009.58 and 102,012 is: 153,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,330 : 527,009.58 = 102,012 : x
  2. Step 2: Convert to fraction form
    351,330/527,009.58 = 102,012/x
  3. Step 3: Cross multiply
    351,330x = 527,009.58 × 102,012
  4. Step 4: Simplify right side
    351,330x = 53,761,301,274.96
  5. Step 5: Solve for x
    x = 53,761,301,274.96/351,330
  6. Step 6: Final answer
    x = 153,022.23

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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.