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Finding the Fourth Proportional to 268,057.26, 369,948.56 and 153,346.48

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Solution

The fourth proportional to 268,057.26, 369,948.56 and 153,346.48 is: 211,635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,057.26 : 369,948.56 = 153,346.48 : x
  2. Step 2: Convert to fraction form
    268,057.26/369,948.56 = 153,346.48/x
  3. Step 3: Cross multiply
    268,057.26x = 369,948.56 × 153,346.48
  4. Step 4: Simplify right side
    268,057.26x = 56,730,309,457.07
  5. Step 5: Solve for x
    x = 56,730,309,457.07/268,057.26
  6. Step 6: Final answer
    x = 211,635.04

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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.