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Finding the Fourth Proportional to 114,514.40, 172,232.40 and 102,533.60

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Solution

The fourth proportional to 114,514.40, 172,232.40 and 102,533.60 is: 154,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,514.40 : 172,232.40 = 102,533.60 : x
  2. Step 2: Convert to fraction form
    114,514.40/172,232.40 = 102,533.60/x
  3. Step 3: Cross multiply
    114,514.40x = 172,232.40 × 102,533.60
  4. Step 4: Simplify right side
    114,514.40x = 17,659,608,008.64
  5. Step 5: Solve for x
    x = 17,659,608,008.64/114,514.40
  6. Step 6: Final answer
    x = 154,212.99

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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.