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Finding the Fourth Proportional to 128,428.40, 192,642.60 and 97,324.40

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Solution

The fourth proportional to 128,428.40, 192,642.60 and 97,324.40 is: 145,986.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,428.40 : 192,642.60 = 97,324.40 : x
  2. Step 2: Convert to fraction form
    128,428.40/192,642.60 = 97,324.40/x
  3. Step 3: Cross multiply
    128,428.40x = 192,642.60 × 97,324.40
  4. Step 4: Simplify right side
    128,428.40x = 18,748,825,459.44
  5. Step 5: Solve for x
    x = 18,748,825,459.44/128,428.40
  6. Step 6: Final answer
    x = 145,986.60

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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.