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Finding the Fourth Proportional to 256,693.48, 384,899.28 and 79,151.20

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Solution

The fourth proportional to 256,693.48, 384,899.28 and 79,151.20 is: 118,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,693.48 : 384,899.28 = 79,151.20 : x
  2. Step 2: Convert to fraction form
    256,693.48/384,899.28 = 79,151.20/x
  3. Step 3: Cross multiply
    256,693.48x = 384,899.28 × 79,151.20
  4. Step 4: Simplify right side
    256,693.48x = 30,465,239,891.14
  5. Step 5: Solve for x
    x = 30,465,239,891.14/256,693.48
  6. Step 6: Final answer
    x = 118,683.34

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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.