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Finding the Fourth Proportional to 308,291.72, 462,122.26 and 156,207.07

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Solution

The fourth proportional to 308,291.72, 462,122.26 and 156,207.07 is: 234,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,291.72 : 462,122.26 = 156,207.07 : x
  2. Step 2: Convert to fraction form
    308,291.72/462,122.26 = 156,207.07/x
  3. Step 3: Cross multiply
    308,291.72x = 462,122.26 × 156,207.07
  4. Step 4: Simplify right side
    308,291.72x = 72,186,764,216.38
  5. Step 5: Solve for x
    x = 72,186,764,216.38/308,291.72
  6. Step 6: Final answer
    x = 234,150.84

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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.