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Finding the Fourth Proportional to 230,416.66, 317,981.73 and 134,914.42

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Solution

The fourth proportional to 230,416.66, 317,981.73 and 134,914.42 is: 186,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,416.66 : 317,981.73 = 134,914.42 : x
  2. Step 2: Convert to fraction form
    230,416.66/317,981.73 = 134,914.42/x
  3. Step 3: Cross multiply
    230,416.66x = 317,981.73 × 134,914.42
  4. Step 4: Simplify right side
    230,416.66x = 42,900,320,673.55
  5. Step 5: Solve for x
    x = 42,900,320,673.55/230,416.66
  6. Step 6: Final answer
    x = 186,185.85

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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.