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Finding the Fourth Proportional to 299,082.35, 448,236 and 121,492.49

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Solution

The fourth proportional to 299,082.35, 448,236 and 121,492.49 is: 182,081.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,082.35 : 448,236 = 121,492.49 : x
  2. Step 2: Convert to fraction form
    299,082.35/448,236 = 121,492.49/x
  3. Step 3: Cross multiply
    299,082.35x = 448,236 × 121,492.49
  4. Step 4: Simplify right side
    299,082.35x = 54,457,307,747.64
  5. Step 5: Solve for x
    x = 54,457,307,747.64/299,082.35
  6. Step 6: Final answer
    x = 182,081.32

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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.