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Finding the Fourth Proportional to 169,238.16, 253,914.12 and 64,086.48

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Solution

The fourth proportional to 169,238.16, 253,914.12 and 64,086.48 is: 96,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,238.16 : 253,914.12 = 64,086.48 : x
  2. Step 2: Convert to fraction form
    169,238.16/253,914.12 = 64,086.48/x
  3. Step 3: Cross multiply
    169,238.16x = 253,914.12 × 64,086.48
  4. Step 4: Simplify right side
    169,238.16x = 16,272,462,173.10
  5. Step 5: Solve for x
    x = 16,272,462,173.10/169,238.16
  6. Step 6: Final answer
    x = 96,151.26

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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.