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Finding the Fourth Proportional to 224,808.48, 310,209.16 and 134,147.64

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Solution

The fourth proportional to 224,808.48, 310,209.16 and 134,147.64 is: 185,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,808.48 : 310,209.16 = 134,147.64 : x
  2. Step 2: Convert to fraction form
    224,808.48/310,209.16 = 134,147.64/x
  3. Step 3: Cross multiply
    224,808.48x = 310,209.16 × 134,147.64
  4. Step 4: Simplify right side
    224,808.48x = 41,613,826,720.38
  5. Step 5: Solve for x
    x = 41,613,826,720.38/224,808.48
  6. Step 6: Final answer
    x = 185,107.90

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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.