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Finding the Fourth Proportional to 109,008.40, 163,296.60 and 96,019.60

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Solution

The fourth proportional to 109,008.40, 163,296.60 and 96,019.60 is: 143,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,008.40 : 163,296.60 = 96,019.60 : x
  2. Step 2: Convert to fraction form
    109,008.40/163,296.60 = 96,019.60/x
  3. Step 3: Cross multiply
    109,008.40x = 163,296.60 × 96,019.60
  4. Step 4: Simplify right side
    109,008.40x = 15,679,674,213.36
  5. Step 5: Solve for x
    x = 15,679,674,213.36/109,008.40
  6. Step 6: Final answer
    x = 143,839.14

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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.