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Finding the Fourth Proportional to 242,457.82, 363,663.82 and 114,344.36

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Solution

The fourth proportional to 242,457.82, 363,663.82 and 114,344.36 is: 171,505.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,457.82 : 363,663.82 = 114,344.36 : x
  2. Step 2: Convert to fraction form
    242,457.82/363,663.82 = 114,344.36/x
  3. Step 3: Cross multiply
    242,457.82x = 363,663.82 × 114,344.36
  4. Step 4: Simplify right side
    242,457.82x = 41,582,906,753.06
  5. Step 5: Solve for x
    x = 41,582,906,753.06/242,457.82
  6. Step 6: Final answer
    x = 171,505.74

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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.