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Finding the Fourth Proportional to 224,784.36, 310,234.91 and 134,144.15

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Solution

The fourth proportional to 224,784.36, 310,234.91 and 134,144.15 is: 185,138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,784.36 : 310,234.91 = 134,144.15 : x
  2. Step 2: Convert to fraction form
    224,784.36/310,234.91 = 134,144.15/x
  3. Step 3: Cross multiply
    224,784.36x = 310,234.91 × 134,144.15
  4. Step 4: Simplify right side
    224,784.36x = 41,616,196,080.38
  5. Step 5: Solve for x
    x = 41,616,196,080.38/224,784.36
  6. Step 6: Final answer
    x = 185,138.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.