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Finding the Fourth Proportional to 133,054.40, 199,581.60 and 109,434.80

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Solution

The fourth proportional to 133,054.40, 199,581.60 and 109,434.80 is: 164,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,054.40 : 199,581.60 = 109,434.80 : x
  2. Step 2: Convert to fraction form
    133,054.40/199,581.60 = 109,434.80/x
  3. Step 3: Cross multiply
    133,054.40x = 199,581.60 × 109,434.80
  4. Step 4: Simplify right side
    133,054.40x = 21,841,172,479.68
  5. Step 5: Solve for x
    x = 21,841,172,479.68/133,054.40
  6. Step 6: Final answer
    x = 164,152.20

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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.