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Finding the Fourth Proportional to 230,405.16, 317,965.86 and 134,902.92

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Solution

The fourth proportional to 230,405.16, 317,965.86 and 134,902.92 is: 186,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,405.16 : 317,965.86 = 134,902.92 : x
  2. Step 2: Convert to fraction form
    230,405.16/317,965.86 = 134,902.92/x
  3. Step 3: Cross multiply
    230,405.16x = 317,965.86 × 134,902.92
  4. Step 4: Simplify right side
    230,405.16x = 42,894,522,974.31
  5. Step 5: Solve for x
    x = 42,894,522,974.31/230,405.16
  6. Step 6: Final answer
    x = 186,169.98

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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.