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Finding the Fourth Proportional to 216,814.24, 299,204.02 and 121,321

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Solution

The fourth proportional to 216,814.24, 299,204.02 and 121,321 is: 167,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,814.24 : 299,204.02 = 121,321 : x
  2. Step 2: Convert to fraction form
    216,814.24/299,204.02 = 121,321/x
  3. Step 3: Cross multiply
    216,814.24x = 299,204.02 × 121,321
  4. Step 4: Simplify right side
    216,814.24x = 36,299,730,910.42
  5. Step 5: Solve for x
    x = 36,299,730,910.42/216,814.24
  6. Step 6: Final answer
    x = 167,423.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.