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Finding the Fourth Proportional to 228,448.61, 342,987.37 and 116,204.78

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Solution

The fourth proportional to 228,448.61, 342,987.37 and 116,204.78 is: 174,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,448.61 : 342,987.37 = 116,204.78 : x
  2. Step 2: Convert to fraction form
    228,448.61/342,987.37 = 116,204.78/x
  3. Step 3: Cross multiply
    228,448.61x = 342,987.37 × 116,204.78
  4. Step 4: Simplify right side
    228,448.61x = 39,856,771,873.63
  5. Step 5: Solve for x
    x = 39,856,771,873.63/228,448.61
  6. Step 6: Final answer
    x = 174,467.12

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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.