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Finding the Fourth Proportional to 230,126.64, 317,630.69 and 133,314.85

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Solution

The fourth proportional to 230,126.64, 317,630.69 and 133,314.85 is: 184,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,126.64 : 317,630.69 = 133,314.85 : x
  2. Step 2: Convert to fraction form
    230,126.64/317,630.69 = 133,314.85/x
  3. Step 3: Cross multiply
    230,126.64x = 317,630.69 × 133,314.85
  4. Step 4: Simplify right side
    230,126.64x = 42,344,887,792.75
  5. Step 5: Solve for x
    x = 42,344,887,792.75/230,126.64
  6. Step 6: Final answer
    x = 184,006.89

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1.5x scale

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.