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Finding the Fourth Proportional to 228,794.94, 342,988.29 and 116,412.30

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Solution

The fourth proportional to 228,794.94, 342,988.29 and 116,412.30 is: 174,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,794.94 : 342,988.29 = 116,412.30 : x
  2. Step 2: Convert to fraction form
    228,794.94/342,988.29 = 116,412.30/x
  3. Step 3: Cross multiply
    228,794.94x = 342,988.29 × 116,412.30
  4. Step 4: Simplify right side
    228,794.94x = 39,928,055,711.97
  5. Step 5: Solve for x
    x = 39,928,055,711.97/228,794.94
  6. Step 6: Final answer
    x = 174,514.59

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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.