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Finding the Fourth Proportional to 230,217.55, 317,708.22 and 133,421.78

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Solution

The fourth proportional to 230,217.55, 317,708.22 and 133,421.78 is: 184,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,217.55 : 317,708.22 = 133,421.78 : x
  2. Step 2: Convert to fraction form
    230,217.55/317,708.22 = 133,421.78/x
  3. Step 3: Cross multiply
    230,217.55x = 317,708.22 × 133,421.78
  4. Step 4: Simplify right side
    230,217.55x = 42,389,196,522.38
  5. Step 5: Solve for x
    x = 42,389,196,522.38/230,217.55
  6. Step 6: Final answer
    x = 184,126.70

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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.