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Finding the Fourth Proportional to 214,673.02, 322,064.24 and 96,389.12

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Solution

The fourth proportional to 214,673.02, 322,064.24 and 96,389.12 is: 144,608.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,673.02 : 322,064.24 = 96,389.12 : x
  2. Step 2: Convert to fraction form
    214,673.02/322,064.24 = 96,389.12/x
  3. Step 3: Cross multiply
    214,673.02x = 322,064.24 × 96,389.12
  4. Step 4: Simplify right side
    214,673.02x = 31,043,489,000.28
  5. Step 5: Solve for x
    x = 31,043,489,000.28/214,673.02
  6. Step 6: Final answer
    x = 144,608.25

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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.