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Finding the Fourth Proportional to 230,972.80, 346,718.40 and 178,614.40

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Solution

The fourth proportional to 230,972.80, 346,718.40 and 178,614.40 is: 268,122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,972.80 : 346,718.40 = 178,614.40 : x
  2. Step 2: Convert to fraction form
    230,972.80/346,718.40 = 178,614.40/x
  3. Step 3: Cross multiply
    230,972.80x = 346,718.40 × 178,614.40
  4. Step 4: Simplify right side
    230,972.80x = 61,928,898,984.96
  5. Step 5: Solve for x
    x = 61,928,898,984.96/230,972.80
  6. Step 6: Final answer
    x = 268,122.04

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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.