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Finding the Fourth Proportional to 230,756.16, 346,687.20 and 147,812.16

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Solution

The fourth proportional to 230,756.16, 346,687.20 and 147,812.16 is: 222,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,756.16 : 346,687.20 = 147,812.16 : x
  2. Step 2: Convert to fraction form
    230,756.16/346,687.20 = 147,812.16/x
  3. Step 3: Cross multiply
    230,756.16x = 346,687.20 × 147,812.16
  4. Step 4: Simplify right side
    230,756.16x = 51,244,583,876.35
  5. Step 5: Solve for x
    x = 51,244,583,876.35/230,756.16
  6. Step 6: Final answer
    x = 222,072.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.