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Finding the Fourth Proportional to 164,159.96, 246,209.22 and 102,213.08

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Solution

The fourth proportional to 164,159.96, 246,209.22 and 102,213.08 is: 153,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,159.96 : 246,209.22 = 102,213.08 : x
  2. Step 2: Convert to fraction form
    164,159.96/246,209.22 = 102,213.08/x
  3. Step 3: Cross multiply
    164,159.96x = 246,209.22 × 102,213.08
  4. Step 4: Simplify right side
    164,159.96x = 25,165,802,700.60
  5. Step 5: Solve for x
    x = 25,165,802,700.60/164,159.96
  6. Step 6: Final answer
    x = 153,300.49

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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.